Books

1 Jon M. Borwein, Igor Shparlinski & Wadim Zudilin (eds.)
Number Theory and Related Fields, In memory of Alf van der Poorten
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer CrossRef MathSciNet Zentralblatt
2 Jon M. Borwein, Alf van der Poorten, Jeffrey O. Shallit & Wadim Zudilin
Neverending Fractions: An Introduction to Continued Fractions
Australian Mathematical Society Lecture Series 23 (2014), Cambridge University Press CrossRef MathSciNet Zentralblatt
Errata
3 François Brunault & Wadim Zudilin
Many Variations of Mahler Measures: A Lasting Symphony
Australian Mathematical Society Lecture Series 28 (2020), Cambridge University Press CrossRef MathSciNet Zentralblatt
Errata
4 Wadim Zudilin
Analytic Methods in Number Theory: When Complex Numbers Count
Monographs in Number Theory 11 (2023), World Scientific CrossRef MathSciNet Zentralblatt

Scientific papers & preprints

1 W. Zudilin
On rational approximations of values of a certain class of entire functions
Sb. Math. 186:4 (1995), 555–590 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Sb. 186:4 (1995), 89–124 pdf
2 W. Zudilin
On a measure of irrationality for values of G-functions
Izv. Math. 60:1 (1996), 91–118 CrossRef MathSciNet Zentralblatt
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 60:1 (1996), 87–114 pdf
3 W. Zudilin
On algebraic structure of functional matrices of special form
Math. Notes 60:6 (1996), 642–648 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 60:6 (1996), 851–860
4 W. Zudilin
Lower bounds for polynomials in the values of certain entire functions
Sb. Math. 187:12 (1996), 1791–1818 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 187:12 (1996), 57–86 pdf
5 W. Zudilin
On the measure of linear and algebraic independence for values of entire hypergeometric functions
Math. Notes 61:2 (1997), 246–248 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 61:2 (1997), 302–304
6 W. Zudilin
Recurrent sequences and the measure of irrationality of values of elliptic integrals
Math. Notes 61:5 (1997), 657–661 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 61:5 (1997), 785–789
7 W. Zudilin
Difference equations and the irrationality measure of numbers
Proc. Steklov Inst. Math. 218 (1997), 160–174 MathSciNet Zentralblatt pdf
Russian version in Tr. Mat. Inst. Steklova 218 (1997), 165–178
8 W. Zudilin
Thetanulls and differential equations
Sb. Math. 191:12 (2000), 1827–1871 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 191:12 (2000), 77–122 pdf
9 W. Zudilin
Cancellation of factorials
Sb. Math. 192:8 (2001), 1181–1207 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 192:8 (2001), 95–122 pdf
Preprint math.NT/0008017
10 D. Bertrand & W. Zudilin
On the transcendence degree of the differential field generated by Siegel modular forms
J. Reine Angew. Math. 554 (January 2003), 47–68 CrossRef MathSciNet Zentralblatt
Prépublication de l'Institut de Mathématiques de Jussieu, no. 248, Mars 2000
Preprint math.NT/0006176
11 W. Zudilin
Hypergeometric equation and Ramanujan functions
Ramanujan J. 7:4 (2003), 435–447 CrossRef MathSciNet Zentralblatt pdf
12 W. Zudilin
Transcendence problems of the mirror [Number theory casting a look at the mirror]
Preprint math.NT/0008237 pdf
13 W. Zudilin
Integrality of power expansions related to hypergeometric series
Math. Notes 71:5 (2002), 604–616; CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 71:5 (2002), 662–676 pdf
14 D. Bertrand & W. Zudilin
Derivatives of Siegel modular forms and exponential functions
Izv. Math. 65:4 (2001), 659–671 CrossRef MathSciNet Zentralblatt pdf
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 65:4 (2001), 21–34 pdf
Prépublication de l'Institut de Mathématiques de Jussieu, no. 280, Mars 2001
15 W. Zudilin
On the irrationality of the values of the zeta function at odd integer points
Russian Math. Surveys 56:2 (2001), 423–424 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:2 (2001), 215–216 pdf
16 W. Zudilin
Irrationality of values of zeta-function
Preprint math.NT/0104249 pdf
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
Irrationality of values of the Riemann zeta function
Izv. Math. 66:3 (2002), 489–542 CrossRef MathSciNet Zentralblatt pdf
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 66:3 (2002), 49–102 pdf
18 W. Zudilin
One of the eight numbers ζ(5), ζ(7), ..., ζ(17), ζ(19) is irrational
Math. Notes 70:3 (2001), 426–431 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 70:3 (2001), 472–476 pdf
19 W. Zudilin
Arithmetic of linear forms involving odd zeta values
J. Théor. Nombres Bordeaux 16:1 (2004), 251–291 CrossRef MathSciNet Zentralblatt pdf
Preprint math.NT/0206176
20 W. Zudilin
One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
Russian Math. Surveys 56:4 (2001), 774–776 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:4 (2001), 149–150 pdf
21 W. Zudilin
One parameter models of Hopf algebras assosiated with multiple zeta values
Preprint (16 June 2001), 11 pages pdf
22 W. Zudilin
Remarks on irrationality of q-harmonic series
Manuscripta Math. 107:4 (2002), 463–477 CrossRef MathSciNet Zentralblatt
23 W. Zudilin
Algebraic relations for multiple zeta values
Russian Math. Surveys 58:1 (2003), 1–29 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 58:1 (2003), 3–32 pdf
24 W. Zudilin
On the irrationality of ζq(2)
Russian Math. Surveys 56:6 (2001), 1183–1185 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 56:6 (2001), 147–148 pdf
25 W. Zudilin
On the irrationality measure for a q-analogue of ζ(2)
Sb. Math. 193:8 (2002), 1151–1172 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Sb. 193:8 (2002), 49–70 pdf
26 T. Rivoal & W. Zudilin
Diophantine properties of numbers related to Catalan's constant
Math. Ann. 326:4 (2003), 705–721 CrossRef MathSciNet Zentralblatt
Prépublication de l'Institut de Mathématiques de Jussieu, no. 315, Janvier 2002
27 W. Zudilin
An Apéry-like difference equation for Catalan's constant
Electron. J. Combin. 10:1 (2003), #R14, 10 pages MathSciNet Zentralblatt pdf
Preprint math.NT/0201024
28 W. Zudilin
Well-poised hypergeometric service for diophantine problems of zeta values
in Actes des 12èmes rencontres arithmétiques de Caen (29–30 June 2001), J. Théor. Nombres Bordeaux 15:2 (2003), 593–626 CrossRef MathSciNet Zentralblatt pdf
29 W. Zudilin
Apéry's theorem. Thirty years after [An elementary proof of Apéry's theorem]
Intern. J. Math. Computer Sci. 4:1 (2009), 9–19 MathSciNet Zentralblatt
Preprint math.NT/0202159 pdf
30 W. Zudilin
Very well-poised hypergeometric series and multiple integrals
Russian Math. Surveys 57:4 (2002), 824–826 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 57:4 (2002), 177–178 pdf
Preprint math.CA/0206177
31 W. Zudilin
Heine's basic transform and a permutation group for q-harmonic series
Acta Arith. 111:2 (2004), 153–164 CrossRef MathSciNet Zentralblatt
32 W. Zudilin
A third-order Apéry-like recursion for ζ(5)
Math. Notes 72:5 (2002), 733–737 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 72:5 (2002), 796–800 pdf
Preprint math.NT/0206178
33 W. Zudilin
Diophantine problems for q-zeta values
Math. Notes 72:6 (2002), 858–862 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 72:6 (2002), 936–940 pdf
Preprint math.NT/0206179
34 K. Väänänen & W. Zudilin
Baker-type estimates for linear forms in the values of q-series
Canad. Math. Bull. 48:1 (2005), 147–160 CrossRef MathSciNet Zentralblatt
35 W. Zudilin
A few remarks on linear forms involving Catalan's constant
Preprint math.NT/0210423 pdf
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 3:2(4) (2002), 60–70 MathSciNet Zentralblatt pdf
36 W. Zudilin
On the functional transcendence of q-zeta values
Math. Notes 73:4 (2003), 588–589 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 73:4 (2003), 629–630 pdf
37 J. Sondow & W. Zudilin
Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper
Ramanujan J. 12:2 (2006), 225–244 CrossRef MathSciNet Zentralblatt
Preprint (an extended version) math.NT/0304021
38 W. Zudilin
Well-poised hypergeometric transformations of Euler-type multiple integrals
J. London Math. Soc. (2) 70:1 (2004), 215–230 CrossRef MathSciNet Zentralblatt
39 W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint math.NT/0307058
40 T. Matala-aho, K. Väänänen & W. Zudilin
New irrationality measures for q-logarithms
Math. Comp. 75 (2006), no. 254, 879–889 CrossRef MathSciNet Zentralblatt
41 W. Zudilin
On a combinatorial problem of Asmus Schmidt
Electron. J. Combin. 11:1 (2004), #R22, 8 pages MathSciNet Zentralblatt
Preprint math.CA/0311195
42 C. Krattenthaler, T. Rivoal & W. Zudilin
Séries hypergéométriques basiques, q-analogues des valeurs de la fonction zêta et formes modulaires
J. Inst. Math. Jussieu 5:1 (2006), 53–79 CrossRef MathSciNet Zentralblatt
Preprint math.NT/0311033
43 P. Bundschuh & W. Zudilin
On theorems of Gelfond and Selberg concerning integral-valued entire functions
J. Approx. Theory 130:2 (2004), 164–178 CrossRef MathSciNet Zentralblatt
44 W. Zudilin
Binomial sums related to rational approximations to ζ(4)
Math. Notes 75:4 (2004), 594–597 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 75:4 (2004), 637–640
Preprint math.CA/0311196
45 W. Zudilin
An essay on irrationality measures of π and other logarithms
Preprint math.NT/0404523 pdf
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 5:2 (2004), 49–65 MathSciNet Zentralblatt pdf
46 G. Almkvist & W. Zudilin
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 MathSciNet Zentralblatt pdf
Preprint math.NT/0402386
47 W. Zudilin
The inverse Legendre transform of a certain family of sequences
Math. Notes 76:2 (2004), 276–279 CrossRef MathSciNet Zentralblatt pdf
Russian version in Mat. Zametki 76:2 (2004), 300–303 pdf
48 P. Bundschuh & W. Zudilin
Rational approximations to a q-analogue of π and some other q-series
in Diophantine Approximation, Proceedings of the 70th birthday conference in honour of W.M. Schmidt (Vienna, November 2003), H.-P. Schlickewei, K. Schmidt, and R.F. Tichy (eds.), Dev. Math. 16 (2008), Vienna, Springer-Verlag, 123–139 CrossRef MathSciNet Zentralblatt
49 W. Zudilin
Ramanujan-type formulae and irrationality measures of certain multiples of π
Sb. Math. 196:7 (2005), 983–998 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Sb. 196:7 (2005), 51–66 pdf
50 W. Zudilin
Approximations to -, di- and tri- logarithms
J. Comput. Appl. Math. 202:2 (2007), 450–459 CrossRef MathSciNet Zentralblatt
Preprint math.CA/0409023
51 W. Zudilin
An elementary proof of the irrationality of Tschakaloff series
J. Math. Sci. (N. Y.) 146:2 (2007), 5669–5673 CrossRef MathSciNet Zentralblatt
Russian version in Fundam. Prikl. Mat. 11:6 (2005), 59–64 (journal link)
Preprint math.NT/0506086
52 W. Zudilin
Computing powers of two generalizations of the logarithm
Sém. Lothar. Combin. 53 (2004/06), Art. B53c, 6 pages SLC link MathSciNet Zentralblatt
53 W. Zudilin
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) MathSciNet Zentralblatt pdf
Reprinted in J. Math. Sci. (N. Y.) 137:2 (2006), 4673–4683 CrossRef
54 Kh. Hessami Pilehrood, T. Hessami Pilehrood & W. Zudilin
Irrationality of certain numbers that contain values of the di- and trilogarithm
Math. Zeitschrift 254:2 (2006), 299–313 CrossRef MathSciNet Zentralblatt
55 P. Bundschuh & W. Zudilin
Irrationality measures for certain q-mathematical constants
Math. Scand. 101:1 (2007), 104–122 CrossRef MathSciNet Zentralblatt
56 W. Zudilin
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 CrossRef MathSciNet Zentralblatt pdf
57 G. Almkvist, C. van Enckevort, D. van Straten & W. Zudilin
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
Quadratic transformations and Guillera's formulae for 1/π2
Math. Notes 81:3 (2007), 297–301 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 81:3 (2007), 335–340 pdf
Preprint math.CA/0509465
59 K. Väänänen & W. Zudilin
Linear independence of values of Tschakaloff series
Russian Math. Surveys 62:1 (2007), 196–198 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 62:1 (2007), 197–198 pdf
60 W. Zudilin
More Ramanujan-type formulae for 1/π2
Russian Math. Surveys 62:3 (2007), 634–636 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 62:3 (2007), 211–212 pdf
61 K. Väänänen & W. Zudilin
Linear independence of values of Tschakaloff functions with different parameters
J. Number Theory 128:9 (2008), 2549–2558 CrossRef MathSciNet Zentralblatt
62 W. Zudilin
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 MathSciNet Zentralblatt
Preprint arXiv:0712.1332 [math.NT]
63 G. Almkvist, D. van Straten & W. Zudilin
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 MathSciNet Zentralblatt pdf
64 Y. Ohno & W. Zudilin
Zeta stars
Commun. Number Theory Phys. 2:2 (2008), 325–347 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2007-134 (November 2007)
65 C. Viola & W. Zudilin
Hypergeometric transformations of linear forms in one logarithm
Funct. Approx. Comment. Math. 39:2 (2008), 211–222 CrossRef MathSciNet Zentralblatt
66 Y. Ohno, J. Okuda & W. Zudilin
Cyclic q-MZSV sum
J. Number Theory 132:1 (2012), 144–155 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2008-31 (March 2008)
67 Y. Yang & W. Zudilin, with an appendix by V. Paşol
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 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2008-36 (March 2008)
Preprint arXiv:0803.3322 [math.NT]
68 W. Zudilin
Ramanujan-type supercongruences
J. Number Theory 129:8 (2009), 1848–1857 CrossRef MathSciNet Zentralblatt
Preprint arXiv:0805.2788 [math.NT]
69 H.H. Chan & W. Zudilin
New representations for Apéry-like sequences
Mathematika 56:1 (2010), 107–117 CrossRef MathSciNet Zentralblatt
70 C. Krattenthaler, I. Rochev, K. Väänänen & W. Zudilin
On the non-quadraticity of values of the q-exponential function and related q-series
Acta Arith. 136:3 (2009), 243–269 CrossRef MathSciNet Zentralblatt
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
Generalizations of Clausen's formula and algebraic transformations of Calabi–Yau differential equations
Proc. Edinburgh Math. Soc. 54:2 (2011), 273–295 CrossRef MathSciNet Zentralblatt pdf
Preprint MPIM 2009-38 (May 2009)
72 W. Zudilin
A hypergeometric problem
J. Comput. Appl. Math. 233 (2009), 856–857 CrossRef MathSciNet Zentralblatt
73 H.H. Chan, Y. Tanigawa, Y. Yang & W. Zudilin
New analogues of Clausen's identities arising from the theory of modular forms
Adv. in Math. 228:2 (2011), 1294–1314 CrossRef MathSciNet Zentralblatt
74 S. Fischler & W. Zudilin
A refinement of Nesterenko's linear independence criterion with applications to zeta values
Math. Ann. 347:4 (2010), 739–763 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2009-35 (May 2009)
75 Y. Gallot, P. Moree & W. Zudilin
The Erdős–Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions
Math. Comp. 80 (2011), no. 274, 1221–1237 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2009-49 (July 2009)
Preprint arXiv:0907.1356 [math.NT]
76 D.H. Bailey, J.M. Borwein, D. Broadhurst & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1005.0414 [math-ph]
77 H.H. Chan, L. Long & W. Zudilin
A supercongruence motivated by the Legendre family of elliptic curves
Math. Notes 88 (2010), 599–602 CrossRef MathSciNet Zentralblatt
Russian version in Mat. Zametki 88:4 (2010), 620–624
78 S. Ole Warnaar & W. Zudilin
Dedekind's η-function and Rogers–Ramanujan identities
Bull. London Math. Soc. 44:1 (2012), 1–11 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1001.1571 [math.CO]
79 S. Ole Warnaar & W. Zudilin
A q-rious positivity
Aequat. Math. 81:1-2 (2011), 177–183 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1003.1999 [math.NT]
80 J. Guillera & W. Zudilin
"Divergent" Ramanujan-type supercongruences
Proc. Amer. Math. Soc. 140:3 (2012), 765–777 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1004.4337 [math.NT]
81 J.M. Borwein, A. Straub, J. Wan & W. Zudilin, with an appendix by D. Zagier
Densities of short uniform random walks
Canad. J. Math. 64:5 (2012), 961–990 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1103.2995 [math.CA]
82 M. Rogers & W. Zudilin
From L-series of elliptic curves to Mahler measures
Compositio Math. 148:2 (2012), 385–414 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1012.3036 [math.NT]
83 M. Rogers & W. Zudilin
On the Mahler measure of 1+X+1/X+Y+1/Y
Intern. Math. Research Notices 2014:9 (2014), 2305–2326 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1102.1153 [math.NT]
84 W. Zudilin
Arithmetic hypergeometric series
Russian Math. Surveys 66:2 (2011), 369–420 CrossRef MathSciNet Zentralblatt pdf
Russian version in Uspekhi Mat. Nauk 66:2 (2011), 163–216
85 H.H. Chan, J. Wan & W. Zudilin
Legendre polynomials and Ramanujan-type series for 1/π
Israel J. Math. 194:1 (2013), 183–207 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2011-36 (June 2011)
86 J. Wan & W. Zudilin
Generating functions of Legendre polynomials: a tribute to Fred Brafman
J. Approx. Theory 164:4 (2012), 488–503 CrossRef MathSciNet Zentralblatt
Reprinted for the continuity of the special issue (OPSFA 2011, Madrid, Spain) in J. Approx. Theory 170 (2013), 198–213 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2011-37 (June 2011)
87 W. Zudilin
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 CrossRef
88 H.H. Chan, J. Wan & W. Zudilin
Complex series for 1/π
in Ramanujan's 125th anniversary special volume, Ramanujan J. 29:1–3 (2012), 135–144 CrossRef MathSciNet Zentralblatt
89 T. Chappell, A. Lascoux, S. O. Warnaar & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1112.3130 [math.CO]
90 W. Zudilin
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
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 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2012-42 (June 2012)
92 W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1210.0269 [math.NT]
93 W. Zudilin
A generating function of the squares of Legendre polynomials
Bull. Austral. Math. Soc. 89:1 (2014), 125–131 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1210.2493 [math.CA]
94 J. Guillera & W. Zudilin
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 MathSciNet Zentralblatt
Preprint arXiv:1302.0548 [math.NT]
Preprint MPIM 2013-29
95 W. Zudilin
Regulator of modular units and Mahler measures
Math. Proc. Cambridge Philos. Soc. 156:2 (2014), 313–326 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1304.3869 [math.NT]
Preprint MPIM 2013-30
96 W. Zudilin
On three theorems of Folsom, Ono and Rhoades
Proc. Amer. Math. Soc. 143:4 (2015), 1471–1476 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1309.2053 [math.NT]
97 A. Straub & W. Zudilin
Positivity of rational functions and their diagonals
J. Approx. Theory 195 (2015), 57–69 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1312.3732 [math.NT]
Preprint MPIM 2013-61
98 W. Zudilin
Two hypergeometric tales and a new irrationality measure of ζ(2)
Ann. Math. Québec 38:1 (2014), 101–117 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1310.1526 [math.NT]
99 S. Dauguet & W. Zudilin
On simultaneous diophantine approximations to ζ(2) and ζ(3)
J. Number Theory 145 (2014), 362–387 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1401.5322 [math.NT]
100 W. Zudilin
On the irrationality measure of π2
Russian Math. Surveys 68:6 (2013), 1133–1135 CrossRef MathSciNet Zentralblatt
Russian version in Uspekhi Mat. Nauk 68:6 (2013), 171–172 CrossRef
101 C. Viola & W. Zudilin
Linear independence of dilogarithmic values
J. Reine Angew. Math. 736 (2018), 193–223 CrossRef MathSciNet Zentralblatt
Preprint MPIM 2014-26
102 M. J. Bertin & W. Zudilin
On the Mahler measure of a family of genus 2 curves
Math. Zeitschrift 283:3 (2016), 1185–1193 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1405.4396 [math.NT]
103 W. Zudilin
Multiple q-zeta brackets
Mathematics 3:1 (2015), special issue Mathematical physics, 119–130 CrossRef Zentralblatt
Preprint arXiv:1412.0163 [math.NT]
104 R. Brent, M. Coons & W. Zudilin
Algebraic independence of Mahler functions via radial asymptotics
Intern. Math. Research Notices 2016:2 (2016), 571–603 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1412.7906 [math.NT]
105 R. Osburn & W. Zudilin
On the (K.2) supercongruence of Van Hamme
J. Math. Anal. Appl. 433:1 (2016), 706–711 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1504.01976 [math.NT]
106 W. Zudilin
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 CrossRef MathSciNet Zentralblatt
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 CrossRef MathSciNet arXiv:1607.06196 [math.CA]
107 M. Lalín, D. Samart & W. Zudilin
Further explorations of Boyd's conjectures and a conductor 21 elliptic curve
J. London Math. Soc. (2) 93:2 (2016), 341–360 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1507.08743 [math.NT]
108 W. Zudilin
A determinantal approach to irrationality
Constructive Approximation 45:2 (2017), 301–310 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1507.05697 [math.NT]
109 A. Haynes & W. Zudilin
Hankel determinants of zeta values
in Special Issue on Orthogonal Polynomials, Special Functions and Applications, SIGMA 11 (2015), 101, 5 pages CrossRef MathSciNet Zentralblatt
Preprint arXiv:1510.01901 [math.NT]
110 S. Cooper, J. Wan & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1512.04608 [math.NT]
111 M. J. Bertin & W. Zudilin
On the Mahler measure of hyperelliptic families
Ann. Math. Québec 41:1 (2017), 199–211 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1601.07583 [math.NT]
112 W. Zudilin
On the irrationality of generalized q-logarithm
Research in Number Theory 2 (2016), Art. 15, 10 pages SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1601.02688 [math.NT]
113 S. Cooper, J. Guillera, A. Straub & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1604.01106 [math.NT]
114 S. Cooper & W. Zudilin
Hypergeometric modular equations
J. Austral. Math. Soc. 107:3 (2019), 338–366 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1609.07276 [math.NT]
115 W. Zudilin
Hypergeometric heritage of W.N. Bailey
Not. Intern. Congress Chinese Mathematicians 7:2 (2019), 32–46 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1611.08806 [math.NT]
116 R. Osburn, A. Straub & W. Zudilin
A modular supercongruence for 6F5: an Apéry-like story
Annales de l'Institut Fourier 68:5 (2018), 1987–2004 cedram link MathSciNet Zentralblatt
Preprint arXiv:1701.04098 [math.NT]
117 T. Matala-aho & W. Zudilin
Euler's factorial series and global relations
J. Number Theory 186 (2018), 202–210 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1703.02633 [math.NT]
118 L. Long, F.-T. Tu, N. Yui & W. Zudilin
Supercongruences for rigid hypergeometric Calabi–Yau threefolds
Adv. in Math. 393 (2021), Art. 108058, 49 pages CrossRef MathSciNet Zentralblatt
Preprint arXiv:1705.01663 [math.NT]
An announcement version in 2017 MATRIX Annals, MATRIX Book Ser. 2 (2019), Springer, 467–470 CrossRef Zentralblatt
119 F. Luca, G. Polanco & W. Zudilin
A variation on the theme of Nicomachus
Bull. Austral. Math. Soc. 97:3 (2018), 367–373 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1707.09477 [math.NT]
120 D. Broadhurst & W. Zudilin
A magnetic double integral
J. Austral. Math. Soc. 107:1 (2019), 9–25 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1708.02381 [math.NT]
121 V. Paşol & W. Zudilin
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 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1801.00210 [math.NT]
122 A. Straub & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1801.06002 [math.NT]
123 W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1801.09895 [math.NT]
124 V. J. W. Guo & W. Zudilin
Ramanujan-type formulae for 1/π: q-analogues
Integral Transforms Spec. Functions 29:7 (2018), 505–513 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1802.04616 [math.NT]
125 C. Krattenthaler & W. Zudilin
Hypergeometry inspired by irrationality questions
Kyushu J. Math. 73:1 (2019), 189–203 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1802.08856 [math.NT]
126 V. J. W. Guo & W. Zudilin
A q-microscope for supercongruences
Adv. in Math. 346 (2019), 329–358 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1803.01830 [math.NT]
127 T. Rivoal & W. Zudilin
A note on odd zeta values
Sém. Lothar. Combin. 81 (2020), Art. B81b, 13 pages SLC link MathSciNet Zentralblatt
Preprint arXiv:1803.03160 [math.NT]
128 W. Zudilin
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 pdf
129 S. Fischler, J. Sprang & W. Zudilin
Many odd zeta values are irrational
Compositio Math. 155:5 (2019), 938–952 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1803.08905 [math.NT]
An announcement version in Comptes Rendus Math. Acad. Sci. Paris 356:7 (2018), 707–711 CrossRef MathSciNet Zentralblatt
130 W. Zudilin
(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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1803.08477 [math.NT]
131 W. Zudilin
Some hypergeometric integrals for linear forms in zeta values
Bull. Austral. Math. Soc. 98:3 (2018), 372–375 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1804.04129 [math.NT]
132 W. Zudilin
Arithmetic of Catalan's constant and its relatives
Abhandlungen Math. Seminar Univ. Hamburg 89:1 (2019), 45–53 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1804.09922 [math.NT]
133 W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1805.00544 [math.NT]
134 V. J. W. Guo & W. Zudilin
On a q-deformation of modular forms
J. Math. Anal. Appl. 475:2 (2019), 1636–1646 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1812.11322 [math.NT]
135 W. Zudilin
Congruences for q-binomial coefficients
Annals of Combinatorics 23:3-4 (2019), 1123–1135 CrossRef MathSciNet Zentralblatt
Reprinted in George E. Andrews–80 years of combinatory analysis, K. Alladi et al. (eds.), Trends in Mathematics (2021), Birkhäuser/Springer, 769–781 MathSciNet
Preprint arXiv:1901.07843 [math.NT]
136 R. Marcovecchio & W. Zudilin
Hypergeometric rational approximations to ζ(4)
Proc. Edinburgh Math. Soc. 63:2 (2020), 374–397 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1905.12579 [math.NT]
137 L. Dembélé, A. Panchishkin, J. Voight & W. Zudilin
Special hypergeometric motives and their L-functions: Asai recognition
Experimental Math. 31:4 (2022), 1278–1290 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1906.07384 [math.NT]
138 S. Ole Warnaar & W. Zudilin
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
A common q-analogue of two supercongruences
Results in Math. 75:2 (2020), Art. 46, 11 pages SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1910.10932 [math.NT]
140 S. B. Ekhad, D. Zeilberger & W. Zudilin
Two definite integrals that are definitely (and surprisingly!) equal
Math. Intelligencer 42:3 (2020), 10–11 SNSharedIt CrossRef MathSciNet Zentralblatt
Preprint arXiv:1911.01423 [math.CA]
141 D. Zeilberger & W. Zudilin
The irrationality measure of π is at most 7.103205334137...
Moscow J. Combin. Number Theory 9:4 (2020), 407–419 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1912.06345 [math.NT]
142 W. Zudilin
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
Automatic discovery of irrationality proofs and irrationality measures
Intern. J. Number Theory 17:3 (2021), 815–825 CrossRef MathSciNet Zentralblatt
Preprint arXiv:1912.10381 [math.NT]
144 V. J. W. Guo & W. Zudilin
Dwork-type supercongruences through a creative q-microscope
J. Combin. Theory Ser. A 178 (2021), Art. 105362 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2001.02311 [math.NT]
145 C. Schneider & W. Zudilin
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 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2004.08158 [math.NT]
146 W. Zudilin
Diophantine problems related to the Omega constant
Preprint arXiv:2004.11029 [math.NT] (April 2020), 2 pages
147 V. Paşol & W. Zudilin
Magnetic (quasi-)modular forms
Nagoya Math. J. 248 (2022), 849–864 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2009.14609 [math.NT]
148 W. Zudilin
(q-)Supercongruences hit again
Hardy–Ramanujan J. 43 (2020), 46–55 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2011.12084 [math.NT]
149 J.-W. M. van Ittersum, B. Ringeling & W. Zudilin
Hedgehogs in Lehmer's problem
Bull. Austral. Math. Soc. 105:2 (2022), 236–242 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2105.14837 [math.NT]
150 A. Uncu & W. Zudilin
Reflecting (on) the modulo 9 Kanade–Russell (conjectural) identities
Sém. Lothar. Combin. 85 (2021), Art. B85e, 17 pages SLC link MathSciNet Zentralblatt
Preprint arXiv:2106.02959 [math.NT]
151 A. Varchenko & W. Zudilin
Ghosts and congruences for ps-approximations of hypergeometric periods
J. Austral. Math. Soc. 116:1 (2024), 96–127 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2107.08548 [math.NT]
152 W. Zudilin
The birthday boy problem
Preprint arXiv:2108.06586 [math.NT] (August 2021), 4 pages
153 A. Varchenko & W. Zudilin
Congruences for Hasse–Witt matrices and solutions of p-adic KZ equations
Pure Appl. Math. Quart. 20:1 (2024), 565–597 CrossRef Zentralblatt
Preprint arXiv:2108.12679 [math.NT]
154 W. Zudilin
Mahler measure numerology
Preprint arXiv:2109.08554 [math.NT] (September 2021), 4 pages
155 W. Zudilin
Apéry limits and Mahler measures
Preprint arXiv:2109.12972 [math.NT] (September 2021), 6 pages
156 B. Ringeling & W. Zudilin
Exercising in complex Mahler measures: diamonds are not forever
Preprint arXiv:2109.14380 [math.NT] (September 2021), 5 pages
157 C. Koutschan & W. Zudilin
Apéry limits for elliptic L-values
Bull. Austral. Math. Soc. 106:2 (2022), 273–279 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2111.08796 [math.NT]
RICAM Report 2021-34 (2021)
158 A. Straub & W. Zudilin
Sums of powers of binomials, their Apéry limits, and Franel's suspicions
Intern. Math. Research Notices 2023:11 (2023), 9861–9879 CrossRef MathSciNet Zentralblatt
Preprint arXiv:2112.09576 [math.NT]
159 F. Brown & W. Zudilin
On cellular rational approximations to ζ(5)
Preprint arXiv:2210.03391 [math.NT] (October 2022), 31 pages
160 F. Brunault & W. Zudilin
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
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
Continued fractions of cubic irrationalities
Preprint arXiv:2311.16596 [math.NT] (November 2023), 6 pages
163 W. Zudilin
A strange identity of an MF (Mahler function)
Preprint arXiv:2403.13604 [math.NT] (March 2024), 4 pages

Started: July 2, 1997