1 | Jon M. Borwein, Igor Shparlinski & Wadim Zudilin (eds.) |
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Number Theory and Related Fields, In memory of Alf van der Poorten | |
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer
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2 | Jon M. Borwein, Alf van der Poorten, Jeffrey O. Shallit & Wadim Zudilin |
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Neverending Fractions: An Introduction to Continued Fractions | |
Australian Mathematical Society Lecture Series 23 (2014), Cambridge University Press
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3 | François Brunault & Wadim Zudilin |
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Many Variations of Mahler Measures: A Lasting Symphony | |
Australian Mathematical Society Lecture Series 28 (2020), Cambridge University Press
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4 | Wadim Zudilin |
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Analytic Methods in Number Theory: When Complex Numbers Count | |
Monographs in Number Theory 11 (2023), World Scientific
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1 | W. Zudilin |
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On rational approximations of values of a certain class of entire functions | |
Sb. Math. 186:4 (1995), 555–590
![]() ![]() ![]() Russian version in Mat. Sb. 186:4 (1995), 89–124 ![]() |
2 | W. Zudilin |
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On a measure of irrationality for values of G-functions | |
Izv. Math. 60:1 (1996), 91–118
![]() ![]() ![]() Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 60:1 (1996), 87–114 ![]() |
3 | W. Zudilin |
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On algebraic structure of functional matrices of special form | |
Math. Notes 60:6 (1996), 642–648
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 60:6 (1996), 851–860 |
4 | W. Zudilin |
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Lower bounds for polynomials in the values of certain entire functions | |
Sb. Math. 187:12 (1996), 1791–1818
![]() ![]() ![]() ![]() Russian version in Mat. Sb. 187:12 (1996), 57–86 ![]() |
5 | W. Zudilin |
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On the measure of linear and algebraic independence for values of entire hypergeometric functions | |
Math. Notes 61:2 (1997), 246–248
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 61:2 (1997), 302–304 |
6 | W. Zudilin |
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Recurrent sequences and the measure of irrationality of values of elliptic integrals | |
Math. Notes 61:5 (1997), 657–661
![]() ![]() ![]() Russian version in Mat. Zametki 61:5 (1997), 785–789 |
7 | W. Zudilin |
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Difference equations and the irrationality measure of numbers | |
Proc. Steklov Inst. Math. 218 (1997), 160–174
![]() ![]() ![]() Russian version in Tr. Mat. Inst. Steklova 218 (1997), 165–178 |
8 | W. Zudilin |
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Thetanulls and differential equations | |
Sb. Math. 191:12 (2000), 1827–1871
![]() ![]() ![]() ![]() Russian version in Mat. Sb. 191:12 (2000), 77–122 ![]() |
9 | W. Zudilin |
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Cancellation of factorials | |
Sb. Math. 192:8 (2001), 1181–1207
![]() ![]() ![]() ![]() Russian version in Mat. Sb. 192:8 (2001), 95–122 ![]() Preprint math.NT/0008017 |
10 | D. Bertrand & W. Zudilin |
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On the transcendence degree of the differential field generated by Siegel modular forms | |
J. Reine Angew. Math. 554 (January 2003), 47–68
![]() ![]() ![]() Prépublication de l'Institut de Mathématiques de Jussieu, no. 248, Mars 2000 Preprint math.NT/0006176 |
11 | W. Zudilin |
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Hypergeometric equation and Ramanujan functions | |
Ramanujan J. 7:4 (2003), 435–447
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12 | W. Zudilin |
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Transcendence problems of the mirror [Number theory casting a look at the mirror] | |
Preprint math.NT/0008237
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13 | W. Zudilin |
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Integrality of power expansions related to hypergeometric series | |
Math. Notes 71:5 (2002), 604–616;
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 71:5 (2002), 662–676 ![]() |
14 | D. Bertrand & W. Zudilin |
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Derivatives of Siegel modular forms and exponential functions | |
Izv. Math. 65:4 (2001), 659–671
![]() ![]() ![]() ![]() Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 65:4 (2001), 21–34 ![]() Prépublication de l'Institut de Mathématiques de Jussieu, no. 280, Mars 2001 |
15 | W. Zudilin |
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On the irrationality of the values of the zeta function at odd integer points | |
Russian Math. Surveys 56:2 (2001), 423–424
![]() ![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 56:2 (2001), 215–216 ![]() |
16 | W. Zudilin |
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Irrationality of values of zeta-function | |
Preprint math.NT/0104249
![]() Russian version in Contemporary Research in Mathematics and Mechanics, Proceedings of the XXIII Conference of Young Scientists of the Department of Mechanics and Mathematics (Moscow State University, April 9–14, 2001), Moscow, Publ. Dept. Mech. Math. MSU, 2001, Part 2, 127–135 |
17 | W. Zudilin |
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Irrationality of values of the Riemann zeta function | |
Izv. Math. 66:3 (2002), 489–542
![]() ![]() ![]() ![]() Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 66:3 (2002), 49–102 ![]() |
18 | W. Zudilin |
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One of the eight numbers ζ(5), ζ(7), ..., ζ(17), ζ(19) is irrational | |
Math. Notes 70:3 (2001), 426–431
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 70:3 (2001), 472–476 ![]() |
19 | W. Zudilin |
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Arithmetic of linear forms involving odd zeta values | |
J. Théor. Nombres Bordeaux 16:1 (2004), 251–291
![]() ![]() ![]() ![]() Preprint math.NT/0206176 |
20 | W. Zudilin |
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One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational | |
Russian Math. Surveys 56:4 (2001), 774–776
![]() ![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 56:4 (2001), 149–150 ![]() |
21 | W. Zudilin |
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One parameter models of Hopf algebras assosiated with multiple zeta values | |
Preprint (16 June 2001), 11 pages
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22 | W. Zudilin |
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Remarks on irrationality of q-harmonic series | |
Manuscripta Math. 107:4 (2002), 463–477
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23 | W. Zudilin |
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Algebraic relations for multiple zeta values | |
Russian Math. Surveys 58:1 (2003), 1–29
![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 58:1 (2003), 3–32 ![]() |
24 | W. Zudilin |
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On the irrationality of ζq(2) | |
Russian Math. Surveys 56:6 (2001), 1183–1185
![]() ![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 56:6 (2001), 147–148 ![]() |
25 | W. Zudilin |
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On the irrationality measure for a q-analogue of ζ(2) | |
Sb. Math. 193:8 (2002), 1151–1172
![]() ![]() ![]() ![]() Russian version in Mat. Sb. 193:8 (2002), 49–70 ![]() |
26 | T. Rivoal & W. Zudilin |
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Diophantine properties of numbers related to Catalan's constant | |
Math. Ann. 326:4 (2003), 705–721
![]() ![]() ![]() Prépublication de l'Institut de Mathématiques de Jussieu, no. 315, Janvier 2002 |
27 | W. Zudilin |
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An Apéry-like difference equation for Catalan's constant | |
Electron. J. Combin. 10:1 (2003), #R14, 10 pages
![]() ![]() ![]() Preprint math.NT/0201024 |
29 | W. Zudilin |
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Apéry's theorem. Thirty years after [An elementary proof of Apéry's theorem] | |
Intern. J. Math. Computer Sci. 4:1 (2009), 9–19
![]() ![]() Preprint math.NT/0202159 ![]() |
30 | W. Zudilin |
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Very well-poised hypergeometric series and multiple integrals | |
Russian Math. Surveys 57:4 (2002), 824–826
![]() ![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 57:4 (2002), 177–178 ![]() Preprint math.CA/0206177 |
31 | W. Zudilin |
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Heine's basic transform and a permutation group for q-harmonic series | |
Acta Arith. 111:2 (2004), 153–164
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32 | W. Zudilin |
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A third-order Apéry-like recursion for ζ(5) | |
Math. Notes 72:5 (2002), 733–737
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 72:5 (2002), 796–800 ![]() Preprint math.NT/0206178 |
33 | W. Zudilin |
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Diophantine problems for q-zeta values | |
Math. Notes 72:6 (2002), 858–862
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 72:6 (2002), 936–940 ![]() Preprint math.NT/0206179 |
34 | K. Väänänen & W. Zudilin |
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Baker-type estimates for linear forms in the values of q-series | |
Canad. Math. Bull. 48:1 (2005), 147–160
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35 | W. Zudilin |
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A few remarks on linear forms involving Catalan's constant | |
Preprint math.NT/0210423
![]() Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 3:2(4) (2002), 60–70 ![]() ![]() ![]() |
36 | W. Zudilin |
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On the functional transcendence of q-zeta values | |
Math. Notes 73:4 (2003), 588–589
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 73:4 (2003), 629–630 ![]() |
37 | J. Sondow & W. Zudilin |
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Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper | |
Ramanujan J. 12:2 (2006), 225–244
![]() ![]() ![]() Preprint (an extended version) math.NT/0304021 |
38 | W. Zudilin |
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Well-poised hypergeometric transformations of Euler-type multiple integrals | |
J. London Math. Soc. (2) 70:1 (2004), 215–230
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39 | W. Zudilin |
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Well-poised generation of Apéry-like recursions | |
in Proceedings of the 7th OPSFA (Copenhagen, 18–22 August 2003),
J. Comput. Appl. Math. 178:1–2 (2005), 513–521
![]() ![]() ![]() Preprint math.NT/0307058 |
40 | T. Matala-aho, K. Väänänen & W. Zudilin |
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New irrationality measures for q-logarithms | |
Math. Comp. 75 (2006), no. 254, 879–889
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41 | W. Zudilin |
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On a combinatorial problem of Asmus Schmidt | |
Electron. J. Combin. 11:1 (2004), #R22, 8 pages
![]() ![]() Preprint math.CA/0311195 |
42 | C. Krattenthaler, T. Rivoal & W. Zudilin |
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Séries hypergéométriques basiques, q-analogues des valeurs de la fonction zêta et formes modulaires | |
J. Inst. Math. Jussieu 5:1 (2006), 53–79
![]() ![]() ![]() Preprint math.NT/0311033 |
43 | P. Bundschuh & W. Zudilin |
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On theorems of Gelfond and Selberg concerning integral-valued entire functions | |
J. Approx. Theory 130:2 (2004), 164–178
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44 | W. Zudilin |
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Binomial sums related to rational approximations to ζ(4) | |
Math. Notes 75:4 (2004), 594–597
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 75:4 (2004), 637–640 Preprint math.CA/0311196 |
45 | W. Zudilin |
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An essay on irrationality measures of π and other logarithms | |
Preprint math.NT/0404523
![]() Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 5:2 (2004), 49–65 ![]() ![]() ![]() |
46 | G. Almkvist & W. Zudilin |
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Differential equations, mirror maps and zeta values | |
in Mirror Symmetry V,
N. Yui, S.-T. Yau, and J.D. Lewis (eds.),
AMS/IP Stud. Adv. Math. 38 (2006), International Press & Amer. Math. Soc., 481–515
![]() ![]() ![]() Preprint math.NT/0402386 |
47 | W. Zudilin |
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The inverse Legendre transform of a certain family of sequences | |
Math. Notes 76:2 (2004), 276–279
![]() ![]() ![]() ![]() Russian version in Mat. Zametki 76:2 (2004), 300–303 ![]() |
49 | W. Zudilin |
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Ramanujan-type formulae and irrationality measures of certain multiples of π | |
Sb. Math. 196:7 (2005), 983–998
![]() ![]() ![]() Russian version in Mat. Sb. 196:7 (2005), 51–66 ![]() |
50 | W. Zudilin |
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Approximations to -, di- and tri- logarithms | |
J. Comput. Appl. Math. 202:2 (2007), 450–459
![]() ![]() ![]() Preprint math.CA/0409023 |
51 | W. Zudilin |
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An elementary proof of the irrationality of Tschakaloff series | |
J. Math. Sci. (N. Y.) 146:2 (2007), 5669–5673
![]() ![]() ![]() Russian version in Fundam. Prikl. Mat. 11:6 (2005), 59–64 (journal link) Preprint math.NT/0506086 |
52 | W. Zudilin |
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Computing powers of two generalizations of the logarithm | |
Sém. Lothar. Combin. 53 (2004/06), Art. B53c, 6 pages
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53 | W. Zudilin |
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Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values | |
in a special volume dedicated to the 90th anniversary of Yu.V. Linnik,
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 322 (2005), 107–124
(journal link)
![]() ![]() ![]() Reprinted in J. Math. Sci. (N. Y.) 137:2 (2006), 4673–4683 ![]() |
54 | Kh. Hessami Pilehrood, T. Hessami Pilehrood & W. Zudilin |
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Irrationality of certain numbers that contain values of the di- and trilogarithm | |
Math. Zeitschrift 254:2 (2006), 299–313
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55 | P. Bundschuh & W. Zudilin |
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Irrationality measures for certain q-mathematical constants | |
Math. Scand. 101:1 (2007), 104–122
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56 | W. Zudilin |
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A new lower bound for ||(3/2)k|| | |
in Proceedings of the 24th Journées Arithmétiques (Marseille, July 4–8, 2005),
J. Théor. Nombres Bordeaux 19:1 (2007), 313–325
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57 | G. Almkvist, C. van Enckevort, D. van Straten & W. Zudilin |
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Tables of Calabi–Yau equations | |
Preprint math.AG/0507430 (July 2005), 104 pages
The supporting database "Calabi–Yau equations" is due to C. van Enckevort and D. van Straten |
58 | W. Zudilin |
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Quadratic transformations and Guillera's formulae for 1/π2 | |
Math. Notes 81:3 (2007), 297–301
![]() ![]() ![]() Russian version in Mat. Zametki 81:3 (2007), 335–340 ![]() Preprint math.CA/0509465 |
59 | K. Väänänen & W. Zudilin |
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Linear independence of values of Tschakaloff series | |
Russian Math. Surveys 62:1 (2007), 196–198
![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 62:1 (2007), 197–198 ![]() |
60 | W. Zudilin |
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More Ramanujan-type formulae for 1/π2 | |
Russian Math. Surveys 62:3 (2007), 634–636
![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 62:3 (2007), 211–212 ![]() |
61 | K. Väänänen & W. Zudilin |
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Linear independence of values of Tschakaloff functions with different parameters | |
J. Number Theory 128:9 (2008), 2549–2558
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62 | W. Zudilin |
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Ramanujan-type formulae for 1/π: A second wind? | |
in Modular Forms and String Duality
(Banff, June 3–8, 2006), N. Yui, H. Verrill and C.F. Doran (eds.),
Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 179–188
![]() ![]() Preprint arXiv:0712.1332 [math.NT] |
63 | G. Almkvist, D. van Straten & W. Zudilin |
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Apéry limits of differential equations of order 4 and 5 | |
in Modular Forms and String Duality
(Banff, June 3–8, 2006), N. Yui, H. Verrill and C.F. Doran (eds.),
Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 105–123
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64 | Y. Ohno & W. Zudilin |
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Zeta stars | |
Commun. Number Theory Phys. 2:2 (2008), 325–347
![]() ![]() ![]() Preprint MPIM 2007-134 (November 2007) |
65 | C. Viola & W. Zudilin |
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Hypergeometric transformations of linear forms in one logarithm | |
Funct. Approx. Comment. Math. 39:2 (2008), 211–222
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66 | Y. Ohno, J. Okuda & W. Zudilin |
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Cyclic q-MZSV sum | |
J. Number Theory 132:1 (2012), 144–155
![]() ![]() ![]() Preprint MPIM 2008-31 (March 2008) |
67 | Y. Yang & W. Zudilin, with an appendix by V. Paşol |
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An Sp4 modularity of Picard–Fuchs differential equations for Calabi–Yau threefolds | |
in Gems in Experimental Mathematics,
T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.),
Contemp. Math. 517 (2010), Amer. Math. Soc., 381–413
![]() ![]() ![]() Preprint MPIM 2008-36 (March 2008) Preprint arXiv:0803.3322 [math.NT] |
68 | W. Zudilin |
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Ramanujan-type supercongruences | |
J. Number Theory 129:8 (2009), 1848–1857
![]() ![]() ![]() Preprint arXiv:0805.2788 [math.NT] |
69 | H.H. Chan & W. Zudilin |
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New representations for Apéry-like sequences | |
Mathematika 56:1 (2010), 107–117
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70 | C. Krattenthaler, I. Rochev, K. Väänänen & W. Zudilin |
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On the non-quadraticity of values of the q-exponential function and related q-series | |
Acta Arith. 136:3 (2009), 243–269
![]() ![]() ![]() Preprint (Math. Univ. Oulu, June 2008) & ESI-2026 (Erwin Schrödinger Intern. Inst. Math. Phys., Vienna, June 2008), 25 pages Preprint arXiv:0812.2921 [math.NT] |
71 | G. Almkvist, D. van Straten & W. Zudilin |
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Generalizations of Clausen's formula and algebraic transformations of Calabi–Yau differential equations | |
Proc. Edinburgh Math. Soc. 54:2 (2011), 273–295
![]() ![]() ![]() ![]() Preprint MPIM 2009-38 (May 2009) |
72 | W. Zudilin |
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A hypergeometric problem | |
J. Comput. Appl. Math. 233 (2009), 856–857
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73 | H.H. Chan, Y. Tanigawa, Y. Yang & W. Zudilin |
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New analogues of Clausen's identities arising from the theory of modular forms | |
Adv. in Math. 228:2 (2011), 1294–1314
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74 | S. Fischler & W. Zudilin |
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A refinement of Nesterenko's linear independence criterion with applications to zeta values | |
Math. Ann. 347:4 (2010), 739–763
![]() ![]() ![]() Preprint MPIM 2009-35 (May 2009) |
75 | Y. Gallot, P. Moree & W. Zudilin |
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The Erdős–Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions | |
Math. Comp. 80 (2011), no. 274, 1221–1237
![]() ![]() ![]() Preprint MPIM 2009-49 (July 2009) Preprint arXiv:0907.1356 [math.NT] |
76 | D.H. Bailey, J.M. Borwein, D. Broadhurst & W. Zudilin |
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Experimental mathematics and mathematical physics | |
in Gems in Experimental Mathematics,
T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.),
Contemp. Math. 517 (2010), Amer. Math. Soc., 41–58
![]() ![]() ![]() Preprint arXiv:1005.0414 [math-ph] |
77 | H.H. Chan, L. Long & W. Zudilin |
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A supercongruence motivated by the Legendre family of elliptic curves | |
Math. Notes 88 (2010), 599–602
![]() ![]() ![]() Russian version in Mat. Zametki 88:4 (2010), 620–624 |
78 | S. Ole Warnaar & W. Zudilin |
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Dedekind's η-function and Rogers–Ramanujan identities | |
Bull. London Math. Soc. 44:1 (2012), 1–11
![]() ![]() ![]() Preprint arXiv:1001.1571 [math.CO] |
79 | S. Ole Warnaar & W. Zudilin |
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A q-rious positivity | |
Aequat. Math. 81:1-2 (2011), 177–183
![]() ![]() ![]() Preprint arXiv:1003.1999 [math.NT] |
80 | J. Guillera & W. Zudilin |
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"Divergent" Ramanujan-type supercongruences | |
Proc. Amer. Math. Soc. 140:3 (2012), 765–777
![]() ![]() ![]() Preprint arXiv:1004.4337 [math.NT] |
81 | J.M. Borwein, A. Straub, J. Wan & W. Zudilin, with an appendix by D. Zagier |
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Densities of short uniform random walks | |
Canad. J. Math. 64:5 (2012), 961–990
![]() ![]() ![]() Preprint arXiv:1103.2995 [math.CA] |
82 | M. Rogers & W. Zudilin |
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From L-series of elliptic curves to Mahler measures | |
Compositio Math. 148:2 (2012), 385–414
![]() ![]() ![]() Preprint arXiv:1012.3036 [math.NT] |
83 | M. Rogers & W. Zudilin |
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On the Mahler measure of 1+X+1/X+Y+1/Y | |
Intern. Math. Research Notices 2014:9 (2014), 2305–2326
![]() ![]() ![]() Preprint arXiv:1102.1153 [math.NT] |
84 | W. Zudilin |
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Arithmetic hypergeometric series | |
Russian Math. Surveys 66:2 (2011), 369–420
![]() ![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 66:2 (2011), 163–216 |
85 | H.H. Chan, J. Wan & W. Zudilin |
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Legendre polynomials and Ramanujan-type series for 1/π | |
Israel J. Math. 194:1 (2013), 183–207
![]() ![]() ![]() Preprint MPIM 2011-36 (June 2011) |
86 | J. Wan & W. Zudilin |
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Generating functions of Legendre polynomials: a tribute to Fred Brafman | |
J. Approx. Theory 164:4 (2012), 488–503
![]() ![]() ![]() Reprinted for the continuity of the special issue (OPSFA 2011, Madrid, Spain) in J. Approx. Theory 170 (2013), 198–213 ![]() ![]() ![]() Preprint MPIM 2011-37 (June 2011) |
87 | W. Zudilin |
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Book review: Ramanujan's Lost Notebook. Part II by G.E. Andrews and B.C. Berndt (Cambridge University Press, Cambridge 2008) | |
J. Approx. Theory 163:8 (2011), 1037–1040
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88 | H.H. Chan, J. Wan & W. Zudilin |
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Complex series for 1/π | |
in Ramanujan's 125th anniversary special volume,
Ramanujan J. 29:1–3 (2012), 135–144
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89 | T. Chappell, A. Lascoux, S. O. Warnaar & W. Zudilin |
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Logarithmic and complex constant term identities | |
in Computational and Analytical Mathematics, In honor of Jonathan Borwein's 60th birthday,
D.H. Bailey et al. (eds.),
Springer Proceedings in Mathematics & Statistics 50 (2013), Springer, 219–250
![]() ![]() ![]() Preprint arXiv:1112.3130 [math.CO] |
90 | W. Zudilin |
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Transformations of L-values | |
in Analytic Number Theory–related Multiple aspects of Arithmetic Functions,
Takumi Noda (ed.),
RIMS Kôkyûroku no. 1806 (Kyoto Univ., September 2012), 16–21
Preprint arXiv:1202.5630 [math.NT] |
91 | W. Zudilin |
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Period(d)ness of L-values | |
in Number Theory and Related Fields, In memory of Alf van der Poorten,
J.M. Borwein et al. (eds.),
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer, 381–395
![]() ![]() ![]() Preprint MPIM 2012-42 (June 2012) |
92 | W. Zudilin |
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Lost in translation | |
in Advances in Combinatorics, Waterloo Workshop in Computer Algebra W80 (May 26–29, 2011),
I. Kotsireas and E.V. Zima (eds.)
(2013), Springer, 287–293
![]() ![]() ![]() Preprint arXiv:1210.0269 [math.NT] |
93 | W. Zudilin |
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A generating function of the squares of Legendre polynomials | |
Bull. Austral. Math. Soc. 89:1 (2014), 125–131
![]() ![]() ![]() Preprint arXiv:1210.2493 [math.CA] |
94 | J. Guillera & W. Zudilin |
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Ramanujan-type formulae for 1/π: The art of translation | |
in The Legacy of Srinivasa Ramanujan,
B.C. Berndt & D. Prasad (eds.),
Ramanujan Math. Soc. Lecture Notes Series 20 (2013), 181–195
![]() ![]() Preprint arXiv:1302.0548 [math.NT] Preprint MPIM 2013-29 |
95 | W. Zudilin |
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Regulator of modular units and Mahler measures | |
Math. Proc. Cambridge Philos. Soc. 156:2 (2014), 313–326
![]() ![]() ![]() Preprint arXiv:1304.3869 [math.NT] Preprint MPIM 2013-30 |
96 | W. Zudilin |
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On three theorems of Folsom, Ono and Rhoades | |
Proc. Amer. Math. Soc. 143:4 (2015), 1471–1476
![]() ![]() ![]() Preprint arXiv:1309.2053 [math.NT] |
97 | A. Straub & W. Zudilin |
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Positivity of rational functions and their diagonals | |
J. Approx. Theory 195 (2015), 57–69
![]() ![]() ![]() Preprint arXiv:1312.3732 [math.NT] Preprint MPIM 2013-61 |
98 | W. Zudilin |
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Two hypergeometric tales and a new irrationality measure of ζ(2) | |
Ann. Math. Québec 38:1 (2014), 101–117
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99 | S. Dauguet & W. Zudilin |
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On simultaneous diophantine approximations to ζ(2) and ζ(3) | |
J. Number Theory 145 (2014), 362–387
![]() ![]() ![]() Preprint arXiv:1401.5322 [math.NT] |
100 | W. Zudilin |
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On the irrationality measure of π2 | |
Russian Math. Surveys 68:6 (2013), 1133–1135
![]() ![]() ![]() Russian version in Uspekhi Mat. Nauk 68:6 (2013), 171–172 ![]() |
101 | C. Viola & W. Zudilin |
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Linear independence of dilogarithmic values | |
J. Reine Angew. Math. 736 (2018), 193–223
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102 | M. J. Bertin & W. Zudilin |
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On the Mahler measure of a family of genus 2 curves | |
Math. Zeitschrift 283:3 (2016), 1185–1193
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103 | W. Zudilin |
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Multiple q-zeta brackets | |
Mathematics 3:1 (2015), special issue Mathematical physics, 119–130
![]() ![]() Preprint arXiv:1412.0163 [math.NT] |
104 | R. Brent, M. Coons & W. Zudilin |
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Algebraic independence of Mahler functions via radial asymptotics | |
Intern. Math. Research Notices 2016:2 (2016), 571–603
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105 | R. Osburn & W. Zudilin |
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On the (K.2) supercongruence of Van Hamme | |
J. Math. Anal. Appl. 433:1 (2016), 706–711
![]() ![]() ![]() Preprint arXiv:1504.01976 [math.NT] |
106 | W. Zudilin |
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On a family of polynomials related to ζ(2,1) = ζ(3) | |
in Periods in Quantum Field Theory and Arithmetic (RTMZV 2014, ICMAT Madrid, Spain),
J.I. Burgos Gil, K. Ebrahimi-Fard and H. Gangl (eds.),
Springer Proceedings in Mathematics & Statistics 314 (2020), Springer, 621–630
![]() ![]() ![]() Preprint arXiv:1504.07696 [math.NT] An abridged version appears as Problem 7 in "Report from the Open Problems Session at OPSFA13", Howard S. Cohl (ed.), Special Issue on Orthogonal Polynomials, Special Functions and Applications, SIGMA 12 (2016), 071, 12 pages ![]() ![]() |
107 | M. Lalín, D. Samart & W. Zudilin |
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Further explorations of Boyd's conjectures and a conductor 21 elliptic curve | |
J. London Math. Soc. (2) 93:2 (2016), 341–360
![]() ![]() ![]() Preprint arXiv:1507.08743 [math.NT] |
108 | W. Zudilin |
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A determinantal approach to irrationality | |
Constructive Approximation 45:2 (2017), 301–310
![]() ![]() ![]() ![]() Preprint arXiv:1507.05697 [math.NT] |
109 | A. Haynes & W. Zudilin |
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Hankel determinants of zeta values | |
in Special Issue on Orthogonal Polynomials, Special Functions and Applications,
SIGMA 11 (2015), 101, 5 pages
![]() ![]() ![]() Preprint arXiv:1510.01901 [math.NT] |
110 | S. Cooper, J. Wan & W. Zudilin |
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Holonomic alchemy and series for 1/π | |
in Analytic Number Theory, Modular Forms and q-Hypergeometric Series,
G.E. Andrews and F. Garvan (eds.),
Springer Proceedings in Mathematics & Statistics 221 (2018), Springer, 179–205
![]() ![]() ![]() Preprint arXiv:1512.04608 [math.NT] |
111 | M. J. Bertin & W. Zudilin |
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On the Mahler measure of hyperelliptic families | |
Ann. Math. Québec 41:1 (2017), 199–211
![]() ![]() ![]() ![]() Preprint arXiv:1601.07583 [math.NT] |
112 | W. Zudilin |
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On the irrationality of generalized q-logarithm | |
Research in Number Theory 2 (2016), Art. 15, 10 pages
![]() ![]() ![]() ![]() Preprint arXiv:1601.02688 [math.NT] |
113 | S. Cooper, J. Guillera, A. Straub & W. Zudilin |
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Crouching AGM, Hidden Modularity | |
in Frontiers in Orthogonal Polynomials and q-Series,
M. Zuhair Nashed and Xin Li (eds.),
Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes
1 (2018), World Scientific, 169–187
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114 | S. Cooper & W. Zudilin |
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Hypergeometric modular equations | |
J. Austral. Math. Soc. 107:3 (2019), 338–366
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115 | W. Zudilin |
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Hypergeometric heritage of W.N. Bailey | |
Not. Intern. Congress Chinese Mathematicians 7:2 (2019), 32–46
![]() ![]() ![]() Preprint arXiv:1611.08806 [math.NT] |
116 | R. Osburn, A. Straub & W. Zudilin |
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A modular supercongruence for 6F5: an Apéry-like story | |
Annales de l'Institut Fourier 68:5 (2018), 1987–2004
cedram link
![]() ![]() Preprint arXiv:1701.04098 [math.NT] |
117 | T. Matala-aho & W. Zudilin |
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Euler's factorial series and global relations | |
J. Number Theory 186 (2018), 202–210
![]() ![]() ![]() Preprint arXiv:1703.02633 [math.NT] |
118 | L. Long, F.-T. Tu, N. Yui & W. Zudilin |
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Supercongruences for rigid hypergeometric Calabi–Yau threefolds | |
Adv. in Math. 393 (2021), Art. 108058, 49 pages
![]() ![]() ![]() Preprint arXiv:1705.01663 [math.NT] An announcement version in 2017 MATRIX Annals, MATRIX Book Ser. 2 (2019), Springer, 467–470 ![]() ![]() |
119 | F. Luca, G. Polanco & W. Zudilin |
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A variation on the theme of Nicomachus | |
Bull. Austral. Math. Soc. 97:3 (2018), 367–373
![]() ![]() ![]() Preprint arXiv:1707.09477 [math.NT] |
120 | D. Broadhurst & W. Zudilin |
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A magnetic double integral | |
J. Austral. Math. Soc. 107:1 (2019), 9–25
![]() ![]() ![]() Preprint arXiv:1708.02381 [math.NT] |
121 | V. Paşol & W. Zudilin |
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A study of elliptic gamma function and allies | |
in Modular Forms are Everywhere: Celebration of Don Zagier's 65th Birthday,
Research in Math. Sci. 5:4 (2018), Art. 39, 11 pages
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122 | A. Straub & W. Zudilin |
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Short walk adventures | |
in From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein (Callaghan, Australia, September 2017),
B. Sims et al. (eds.),
Springer Proceedings in Mathematics & Statistics 313 (2020), Springer, 423–439
![]() ![]() ![]() Preprint arXiv:1801.06002 [math.NT] |
123 | W. Zudilin |
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One of the odd zeta values from ζ(5) to ζ(25) is irrational. By elementary means | |
in Special Issue on Orthogonal Polynomials, Special Functions and Applications,
SIGMA 14 (2018), 028, 8 pages
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124 | V. J. W. Guo & W. Zudilin |
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Ramanujan-type formulae for 1/π: q-analogues | |
Integral Transforms Spec. Functions 29:7 (2018), 505–513
![]() ![]() ![]() Preprint arXiv:1802.04616 [math.NT] |
125 | C. Krattenthaler & W. Zudilin |
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Hypergeometry inspired by irrationality questions | |
Kyushu J. Math. 73:1 (2019), 189–203
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126 | V. J. W. Guo & W. Zudilin |
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A q-microscope for supercongruences | |
Adv. in Math. 346 (2019), 329–358
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127 | T. Rivoal & W. Zudilin |
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A note on odd zeta values | |
Sém. Lothar. Combin. 81 (2020), Art. B81b, 13 pages
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128 | W. Zudilin |
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Ramanujan and odd zeta values | |
in Encyclopedia of Ramanujan and His Mathematics, K. Alladi, G.E. Andrews, B.C. Berndt and K. Ono (eds.),
Springer (to appear), 5 pages
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129 | S. Fischler, J. Sprang & W. Zudilin |
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Many odd zeta values are irrational | |
Compositio Math. 155:5 (2019), 938–952
![]() ![]() ![]() Preprint arXiv:1803.08905 [math.NT] An announcement version in Comptes Rendus Math. Acad. Sci. Paris 356:7 (2018), 707–711 ![]() ![]() ![]() |
130 | W. Zudilin |
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(q-)Congruences: Appendix to "WZ pairs and q-analogues of Ramanujan series for 1/π" by J. Guillera | |
J. Diff. Equat. Appl. 24:12 (2018), 1871–1879
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131 | W. Zudilin |
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Some hypergeometric integrals for linear forms in zeta values | |
Bull. Austral. Math. Soc. 98:3 (2018), 372–375
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132 | W. Zudilin |
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Arithmetic of Catalan's constant and its relatives | |
Abhandlungen Math. Seminar Univ. Hamburg 89:1 (2019), 45–53
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133 | W. Zudilin |
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A hypergeometric version of the modularity of rigid Calabi–Yau manifolds | |
in Special Issue on Modular Forms and String Theory in honor of Noriko Yui,
SIGMA 14 (2018), 086, 16 pages
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134 | V. J. W. Guo & W. Zudilin |
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On a q-deformation of modular forms | |
J. Math. Anal. Appl. 475:2 (2019), 1636–1646
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135 | W. Zudilin |
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Congruences for q-binomial coefficients | |
Annals of Combinatorics 23:3-4 (2019), 1123–1135
![]() ![]() ![]() Reprinted in George E. Andrews–80 years of combinatory analysis, K. Alladi et al. (eds.), Trends in Mathematics (2021), Birkhäuser/Springer, 769–781 ![]() Preprint arXiv:1901.07843 [math.NT] |
136 | R. Marcovecchio & W. Zudilin |
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Hypergeometric rational approximations to ζ(4) | |
Proc. Edinburgh Math. Soc. 63:2 (2020), 374–397
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137 | L. Dembélé, A. Panchishkin, J. Voight & W. Zudilin |
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Special hypergeometric motives and their L-functions: Asai recognition | |
Experimental Math. 31:4 (2022), 1278–1290
![]() ![]() ![]() Preprint arXiv:1906.07384 [math.NT] |
138 | S. Ole Warnaar & W. Zudilin |
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q-rious and q-riouser | |
in Dick Askey's Liber Amicorum, Contribution #77 (as of 28 January 2020)
Preprint arXiv:1909.07045 [math.NT] |
139 | V. J. W. Guo & W. Zudilin |
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A common q-analogue of two supercongruences | |
Results in Math. 75:2 (2020), Art. 46, 11 pages
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140 | S. B. Ekhad, D. Zeilberger & W. Zudilin |
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Two definite integrals that are definitely (and surprisingly!) equal | |
Math. Intelligencer 42:3 (2020), 10–11
![]() ![]() ![]() ![]() Preprint arXiv:1911.01423 [math.CA] |
141 | D. Zeilberger & W. Zudilin |
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The irrationality measure of π is at most 7.103205334137... | |
Moscow J. Combin. Number Theory 9:4 (2020), 407–419
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142 | W. Zudilin |
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The method of creative microscoping | |
in Analytic Number Theory and Related Topics,
Masatoshi Suzuki (ed.),
RIMS Kôkyûroku no. 2162 (Kyoto Univ., July 2020), 227–234
Preprint arXiv:1912.06829 [math.NT] |
143 | D. Zeilberger & W. Zudilin |
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Automatic discovery of irrationality proofs and irrationality measures | |
Intern. J. Number Theory 17:3 (2021), 815–825
![]() ![]() ![]() Preprint arXiv:1912.10381 [math.NT] |
144 | V. J. W. Guo & W. Zudilin |
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Dwork-type supercongruences through a creative q-microscope | |
J. Combin. Theory Ser. A 178 (2021), Art. 105362
![]() ![]() ![]() Preprint arXiv:2001.02311 [math.NT] |
145 | C. Schneider & W. Zudilin |
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A case study for ζ(4) | |
in Transcendence in Algebra, Combinatorics, Geometry and Number Theory,
A. Bostan and K. Raschel (eds.),
Springer Proceedings in Mathematics & Statistics 373 (2021), Springer, 421–435
![]() ![]() ![]() Preprint arXiv:2004.08158 [math.NT] |
146 | W. Zudilin |
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Diophantine problems related to the Omega constant | |
Preprint arXiv:2004.11029 [math.NT] (April 2020), 2 pages |
147 | V. Paşol & W. Zudilin |
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Magnetic (quasi-)modular forms | |
Nagoya Math. J. 248 (2022), 849–864
![]() ![]() ![]() Preprint arXiv:2009.14609 [math.NT] |
148 | W. Zudilin |
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(q-)Supercongruences hit again | |
Hardy–Ramanujan J. 43 (2020), 46–55
![]() ![]() ![]() Preprint arXiv:2011.12084 [math.NT] |
149 | J.-W. M. van Ittersum, B. Ringeling & W. Zudilin |
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Hedgehogs in Lehmer's problem | |
Bull. Austral. Math. Soc. 105:2 (2022), 236–242
![]() ![]() ![]() Preprint arXiv:2105.14837 [math.NT] |
150 | A. Uncu & W. Zudilin |
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Reflecting (on) the modulo 9 Kanade–Russell (conjectural) identities | |
Sém. Lothar. Combin. 85 (2021), Art. B85e, 17 pages
![]() ![]() ![]() Preprint arXiv:2106.02959 [math.NT] |
151 | A. Varchenko & W. Zudilin |
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Ghosts and congruences for ps-approximations of hypergeometric periods | |
J. Austral. Math. Soc. 116:1 (2024), 96–127
![]() ![]() ![]() Preprint arXiv:2107.08548 [math.NT] |
152 | W. Zudilin |
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The birthday boy problem | |
Preprint arXiv:2108.06586 [math.NT] (August 2021), 4 pages |
153 | A. Varchenko & W. Zudilin |
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Congruences for Hasse–Witt matrices and solutions of p-adic KZ equations | |
Pure Appl. Math. Quart. 20:1 (2024), 565–597
![]() ![]() Preprint arXiv:2108.12679 [math.NT] |
154 | W. Zudilin |
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Mahler measure numerology | |
Preprint arXiv:2109.08554 [math.NT] (September 2021), 4 pages |
155 | W. Zudilin |
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Apéry limits and Mahler measures | |
Preprint arXiv:2109.12972 [math.NT] (September 2021), 6 pages |
156 | B. Ringeling & W. Zudilin |
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Exercising in complex Mahler measures: diamonds are not forever | |
Preprint arXiv:2109.14380 [math.NT] (September 2021), 5 pages |
157 | C. Koutschan & W. Zudilin |
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Apéry limits for elliptic L-values | |
Bull. Austral. Math. Soc. 106:2 (2022), 273–279
![]() ![]() ![]() Preprint arXiv:2111.08796 [math.NT] RICAM Report 2021-34 (2021) |
158 | A. Straub & W. Zudilin |
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Sums of powers of binomials, their Apéry limits, and Franel's suspicions | |
Intern. Math. Research Notices 2023:11 (2023), 9861–9879
![]() ![]() ![]() Preprint arXiv:2112.09576 [math.NT] |
159 | F. Brown & W. Zudilin |
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On cellular rational approximations to ζ(5) | |
Preprint arXiv:2210.03391 [math.NT] (October 2022), 31 pages |
160 | F. Brunault & W. Zudilin |
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Modular regulators and multiple Eisenstein values | |
Preprint arXiv:2303.15554 [math.NT] (March 2023), 38 pages |
161 | M. van Hoeij, D. van Straten & W. Zudilin |
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A hyperelliptic saga on a generating function of the squares of Legendre polynomials | |
Preprint arXiv:2306.04921 [math.NT] (June 2023), 24 pages |
162 | W. Zudilin |
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Continued fractions of cubic irrationalities | |
Preprint arXiv:2311.16596 [math.NT] (November 2023), 6 pages |
163 | W. Zudilin |
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A strange identity of an MF (Mahler function) | |
Preprint arXiv:2403.13604 [math.NT] (March 2024), 4 pages |
164 | C. Krattenthaler & W. Zudilin |
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A remarkable basic hypergeometric identity | |
Preprint arXiv:2406.02954 [math.NT] (June 2024), 6 pages |
Started: July 2, 1997