Wadim Zudilin

From June 2009 I am an Associate Professor at the School of Mathematical and Physical Sciences, the University of Newcastle (NSW, Australia). I am the Associate Director for Pure Mathematics of CARMA (Computer Assisted Research in Mathematics and its Applications).

(See my Curriculum Vitae in pdf or dvi formats for details.)

• Research interests (I consider all items below as pieces of a single whole)
  • Number Theory in general
  • Experimental Mathematics
  • Mathematical functions: Padé approximations, arithmetic properties of their values
  • Measures of irrationality and transcendence
  • Ordinary zeta values
  • Multiple zeta values
  • Hypergeometric series
  • Rogers--Ramanujan identities
  • Modular functions
  • Calabi--Yau differential equations

• PhD thesis
  • "On the estimates of the measure of linear independence for values of certain analytical functions",
    Moscow State University, December 1, 1995

• Monograph, originally planned as a D.Sc. (Habilitation) thesis
  • "Apéry's theorem and problems for the values of Riemann's zeta function and their q-analogues" (in Russian),
    December 29, 2007

• Scientific papers (check also my list of publications in Mathematical Reviews and Zentralblatt)

• Collaborators

• Talks

• Participation
  1. 12èmes rencontres arithmétiques de Caen (Univ. de Caen, France, 29--30 June 2001)
  2. CIME's course in Analytic Number Theory (Cetraro Cosenza, Italy, 10--19 July 2002)

• Editorial duties
  • Monographs in Number Theory, a member of the Editorial Board
  • International Journal of Number Theory, a member of the Editorial Board

• 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, July 2, 2007)

• My favourite constants
  • π=3.14159265358979323846264338327950288419716939937510...
  • ζ(5)=1.03692775514336992633136548645703416805708091950191...
  • Apéry's constant ζ(3)=1.20205690315959428539973816151144999076498629234049...
  • Catalan's constant G=0.91596559417721901505460351493238411077414937428167...
  • Euler's constant γ=0.57721566490153286060651209008240243104215933593992...

• Other resources on my web
  • Zeta values on the Web 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 of my son Victor
  • Cyrillic to TeX is a new tool for reading and writing texts in Russian on non-Russian computers and systems
  • WAdim Formatting of Texfiles is a program for making sweets from non-professional authors' TeX-files
    (archive with sources and dos-executable version)
  • "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)

Started on July 2, 1997
Last modified on January 17, 2010