w [dot] zudilin [at] math [dot] ru [dot] nl;

wzudilin [at] gmail [dot] com

Wadim Zudilin

Institute for Mathematics, Astrophysics and Particle Physics

Radboud Universiteit, PO Box 9010

6500 GL Nijmegen, The Netherlands

**Research interests**(though listed below in obscure alphabetical order, all items are considered by me as pieces of a single whole)- Apéry's theorem
- Calabi–Yau differential equations
- Continued fractions
- Dilogarithm
- Diophantine approximations
- Diophantine equations
- Elliptic curves
- Elliptic functions
- Experimental Mathematics
- Hankel determinants
- Hypergeometric functions
- Hypergeometric motives
- Irrationality and transcendence
*L*-values- Mahler measures
- Mahler functions
- Mathematical constants
- Mock theta functions
- Modular forms and functions
- Multiple zeta values
- Number Theory in general
- Ordinary zeta values
- Orthogonal polynomials
- Padé approximations
- π
- Positivity
- Ramanujan's mathematics
- Rogers–Ramanujan identities
- Special functions
- Supercongruences and their
*q*-analogues

**PhD thesis**- "On the estimates of the measure of linear independence for values of certain analytical functions" (in Russian),

Moscow State University, 1 December 1995

- "On the estimates of the measure of linear independence for values of certain analytical functions" (in Russian),
**Habilitation (D.Sc. thesis)**- "Apéry's theorem and problems for the values of Riemann's zeta function and their
`q`-analogues" (in Russian),

Moscow State University, 20 June 2014

- "Apéry's theorem and problems for the values of Riemann's zeta function and their
**Books**- NeW:
*Many Variations of Mahler Measures*, A Lasting Symphony (Cambridge University Press, 2020),

with François Brunault

*Neverending Fractions*, An Introduction to Continued Fractions (Cambridge University Press, 2014),

with Jonathan Borwein, Alf van der Poorten and Jeffrey Shallit

- NeW:
**Books & papers**(check also my*list of publications*in Mathematical Reviews, Zentralblatt, Google Scholar and arXiv)**Collaborators****Talks & activities****Editorial duties**- Integral Transforms and Special Functions, Member of the Editorial Board (2013– )
- The Ramanujan Journal, Coordinating Editor (2018– )
- Journal of Algebraic Combinatorics, Managing Editor (2018– )
- Monographs in Number Theory, Editor (2008–2013) & Series Editor (2013– )
- NIST Digital Library of Mathematical Functions, Associate Editor for the Chapter on
*Zeta and Related Functions*(2015– ) - International Journal of Number Theory, Associate Editor (2009–2011 & 2014–2020)
- formerly Bulletin of the Australian Mathematical Society, Associate Editor (2013–2017)
- formerly Journal of the Australian Mathematical Society, Associate Editor (2013–2017)

**Awards**- Distinguished Award of the Hardy–Ramanujan Society (2001)

- Our joint paper
*Densities of short uniform random walks*(*with an appendix by*D. Zagier),

with Jonathan Borwein, Armin Straub and James Wan,

has been awarded the 2014 G. de B. Robinson Award of the Canadian Mathematical Society

**PhD students**- Jesús Guillera Goyanes,
"Series de Ramanujan: Generalizaciones y conjeturas" ("Ramanujan's series: Generalizations and conjectures"),

Facultad de Ciencias, Departamento de Matemáticas, Universidad de Zaragoza (Zaragoza, Spain, 2 July 2007) - Igor P. Rochev,
"Arithmetic properties of values of certain analytic functions",

Department of Mechanics and Mathematics, Moscow Lomonosov State University (Moscow, Russia, 18 February 2011) - Yuri A. Pupyrev,
"Arithmetic applications of the theory of hypergeometric series",

Department of Mechanics and Mathematics, Moscow Lomonosov State University (Moscow, Russia, 18 February 2011) - James Wan,
"Random walks, elliptic integrals, and related constants",

School of Mathematical and Physical Sciences, The University of Newcastle (Newcastle, NSW, Australia, 19 March 2013) - Daniel Sutherland,
"Arithmetic applications of Hankel determinants",

School of Mathematical and Physical Sciences, The University of Newcastle (Newcastle, NSW, Australia, 13 February 2015)

- Jesús Guillera Goyanes,
"Series de Ramanujan: Generalizaciones y conjeturas" ("Ramanujan's series: Generalizations and conjectures"),
**My favourite constants**- π = 3.14159265358979323846264338327950288419716939937510...
- Pi down under 1/π = 0.31830988618379067153776752674502872406891929148091...
- π
^{2}/6 = ζ(2) = 1.64493406684822643647241516664602518921894990120679... - Apéry's constant ζ(3) = 1.20205690315959428539973816151144999076498629234049...
- ζ(5) = 1.03692775514336992633136548645703416805708091950191...
- Catalan's constant
`G`= 0.91596559417721901505460351493238411077414937428167... - Euler's constant γ = 0.57721566490153286060651209008240243104215933593992...

**Other resources on my web**- Z
`eta``values``on``the`W`eb`is a collection of references and links devoted to the arithmetic study of values of the Riemann zeta function at positive integers and related constants - Catalan's problem has been solved successfully by P. Mihailescu; here are some theorems and links related to the problem
- Some arts by my son Victor
- "Diophantine Approximations",
*Mathematical Transactions***2**(1996) Collection of papers dedicated to memory of Prof. N.I. Feldman (Russian) - "Analytic Number Theory and Applications",
*Proc. V.A. Steklov Inst. Math.***218**(1997) Collection of papers. To Prof. Anatolii Alexeevich Karatsuba on occasion of his 60th birthday (Russian & English)

- Z

*Started* on July 2, 1997