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Mathematics

D-Index
30
Citations
3425
World Ranking
3545
National Ranking
46

Overview

Wadim Zudilin is a researcher affiliated with Radboud University in the Netherlands, specializing in mathematics with a focus on algebra and number theory. The body of their work spans multiple subfields and topics within mathematics, reflecting a broad and diverse research portfolio.

The main fields of study covered by Zudilin include:

  • Mathematics

In more specific subfields, Zudilin's research includes:

  • Algebra and Number Theory
  • Geometry and Topology
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Applied Mathematics

The primary topics of research encompassed by Zudilin's work are:

  • Advanced Mathematical Identities
  • Algebraic Geometry and Number Theory
  • Analytic Number Theory Research
  • Advanced Algebra and Geometry
  • Mathematical functions and polynomials
  • Advanced mathematical theories
  • Polynomial and algebraic computation

Zudilin has published extensively, contributing to both journals and books. They have authored books with Cambridge University Press and World Scientific, including:

  • Many Variations of Mahler Measures (2020)
  • Analytic Methods in Number Theory (2023)

Their recent papers illustrate a focus on number theory, hypergeometric functions, modular forms, and p-adic equations. Selected recent publications include:

  • "Dwork-type supercongruences through a creative q-microscope" (2020), Journal of Combinatorial Theory Series A
  • "Supercongruences for rigid hypergeometric Calabi-Yau threefolds" (2021), Advances in Mathematics
  • "MAGNETIC (QUASI-)MODULAR FORMS" (2022), Nagoya Mathematical Journal
  • "GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS" (2023), Journal of the Australian Mathematical Society
  • "Congruences for Hasse-Witt matrices and solutions of p-adic KZ equations" (2024), UNC Libraries

Zudilin's frequent coauthors include:

  • François Brunault
  • Alexander Varchenko
  • Armin Straub
  • Erik Koelink
  • Pablo Román

Their work is published regularly in venues such as:

  • arXiv (Cornell University)
  • The Ramanujan Journal
  • Journal of Combinatorial Theory Series A
  • Advances in Mathematics
  • Nagoya Mathematical Journal

Best Publications

  • A q-microscope for supercongruences

    Victor J.W. Guo;Wadim Zudilin;Wadim Zudilin

  • Ramanujan-type supercongruences

    Wadim Zudilin

  • Tables of Calabi-Yau equations

    Gert Almkvist;Christian van Enckevort;Duco van Straten;Wadim Zudilin

  • Algebraic relations for multiple zeta values

    W W Zudilin

  • One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational

    W W Zudilin

  • Arithmetic of linear forms involving odd zeta values

    Wadim Zudilin

  • Differential equations, mirror maps and zeta values

    Gert Almkvist;Wadim Zudilin

  • Irrationality of values of the Riemann zeta function

    W W Zudilin

  • Congruences for q-Binomial Coefficients

    Wadim Zudilin

  • Diophantine properties of numbers related to Catalan's constant

    T. Rivoal;T. Rivoal;W. Zudilin

  • Generalizations of Clausen's Formula and algebraic transformations of Calabi-Yau differential equations

    Gert Almkvist;Duco van Straten;Wadim Zudilin

  • Divergent Ramanujan-type supercongruences

    Jesús Guillera;Wadim Zudilin

  • Neverending Fractions: An Introduction to Continued Fractions

    Jonathan M. Borwein;Alf van der Poorten;Jeffrey Shallit;Wadim Zudilin

  • From $L$-series of elliptic curves to Mahler measures

    Mathew Rogers;Wadim Zudilin

  • New analogues of Clausen’s identities arising from the theory of modular forms

    Heng Huat Chan;Yoshio Tanigawa;Yifan Yang;Wadim Zudilin

  • On the (K.2) supercongruence of Van Hamme

    Robert Osburn;Robert Osburn;Wadim Zudilin;Wadim Zudilin

  • An Apéry-like difference equation for Catalan's constant

    Wadim Zudilin

  • Ramanujan-type formulae for 1/pi: a second wind?

    Wadim Zudilin

  • DENSITIES OF SHORT UNIFORM RANDOM WALKS

    Jonathan M. Borwein;Armin Straub;James Wan;Wadim Zudilin

  • Well-poised hypergeometric service for diophantine problems of zeta values

    Wadim Zudilin

  • Dwork-type supercongruences through a creative q-microscope

    Victor J.W. Guo;Wadim Zudilin

  • New representations for Apéry-like sequences

    Heng Huat Chan;Heng Huat Chan;Wadim Zudilin

  • Densities of short uniform random walks

    Jonathan M. Borwein;Armin Straub;James Wan;Wadim Zudilin

Frequent Co-Authors

Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Christian Krattenthaler
Christian Krattenthaler University of Vienna
Richard P. Brent
Richard P. Brent Australian National University
David H. Bailey
David H. Bailey Lawrence Berkeley National Laboratory
Carsten Schneider
Carsten Schneider Johannes Kepler University of Linz
Igor E. Shparlinski
Igor E. Shparlinski University of New South Wales

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