Wadim Zudilin

Q: What Schools Are Affiliated With Wadim Zudilin

Wadim Zudilin is affiliated with the following schools: University of Newcastle , Moscow State University, Radboud University Nijmegen

Wadim Zudilin's AcademicInfluence.com Rankings

Wadim Zudilin

Mathematics

#1610

World Rank

#2606

Historical Rank

Number Theory

#70

World Rank

#100

Historical Rank

Measure Theory

#2847

World Rank

#3387

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Wadim Zudilin Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Wadim Zudilin is a Russian mathematician and number theorist who is active in studying hypergeometric functions and zeta constants. He studied under Yuri V. Nesterenko and worked at Moscow State University, the Steklov Institute of Mathematics, the Max Planck Institute for Mathematics and the University of Newcastle, Australia. He now works at the Radboud University Nijmegen, the Netherlands.

(See a Problem?)

Wadim Zudilin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A q-microscope for supercongruences (2018) (171)
Ramanujan-type supercongruences (2008) (168)
Algebraic relations for multiple zeta values (2003) (123)
Arithmetic of linear forms involving odd zeta values (2002) (103)
Differential equations, mirror maps and zeta values (2004) (101)
Tables of Calabi-Yau equations (2005) (84)
One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational (2001) (68)
Divergent Ramanujan-type supercongruences (2010) (63)
From L-series of elliptic curves to Mahler measures (2010) (62)
Irrationality of values of the Riemann zeta function (2001) (61)
Ramanujan-type formulae for 1/π: a second wind? (2006) (59)
ZETA STARS (57)
New analogues of Clausen’s identities arising from the theory of modular forms | NOVA. The University of Newcastle's Digital Repository (2011) (56)
Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations (2011) (54)
Congruences for q-Binomial Coefficients (2019) (54)
On the (K.2) supercongruence of Van Hamme (2015) (53)
Diophantine properties of numbers related to Catalan's constant (2003) (53)
Well-poised hypergeometric service for diophantine problems of zeta values | NOVA. The University of Newcastle's Digital Repository (2003) (53)
New representations for Apéry-like sequences (2010) (51)
On the Mahler Measure of 1+X+1/X+Y +1/Y (2011) (47)
Dwork-type supercongruences through a creative q-microscope (2020) (47)
An Apery-like Difference Equation for Catalan's Constant (2002) (45)
Generating functions of Legendre polynomials: A tribute to Fred Brafman (2012) (43)
Legendre polynomials and Ramanujan-type series for 1/π (2013) (41)
On a q-deformation of modular forms (2018) (38)
A Common q-Analogue of Two Supercongruences (2019) (37)
Ramanujan-type formulae for 1/pi: a second wind? (2007) (36)
Congruences for q-Binomial Coefficients: To George Andrews, with warm q-wishes and well-looking q-congruences (2019) (33)
A refinement of Nesterenko’s linear independence criterion with applications to zeta values (2010) (31)
Cyclic q-MZSV sum☆ (2012) (30)
Алгебраические соотношения для кратных дзета-значений@@@Algebraic relations for multiple zeta values (2003) (30)
Many odd zeta values are irrational (2018) (28)
On the transcendence degree of the differential field generated by Siegel modular forms (2000) (28)
Regulator of modular units and Mahler measures (2013) (28)
Euler’s constant, q-logarithms, and formulas of Ramanujan and Gosper (2003) (26)
A q-rious positivity (2010) (26)
Ramanujan-type formulae for 1/π: q-analogues (2018) (25)
Одно из чисел $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ иррационально@@@One of the numbers $\zeta(5), \zeta(7), \zeta(9), \zeta(11)$ is irrational (2001) (25)
Dedekind's η‐function and Rogers–Ramanujan identities (2010) (24)
An elementary proof of Apery's theorem (2002) (23)
More Ramanujan-type formulae for 1/π² (2007) (21)
The Hypergeometric Equation and Ramanujan Functions (2003) (21)
Positivity of rational functions and their diagonals (2013) (20)
On the irrationality measure for a q-analogue of ζ(2) (2002) (20)
Apéry limits of differential equations of order 4 and 5. (2008) (20)
On the irrationality measure of (2013) (19)
A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS (2012) (19)
Well‐Poised Hypergeometric Transformations of Euler‐Type Multiple Integrals (2004) (18)
On three theorems of Folsom, Ono and Rhoades (2013) (18)
On a Combinatorial Problem of Asmus Schmidt (2003) (18)
Ramanujan-type formulae for $1/\pi$: The art of translation (2013) (18)
One of the Odd Zeta Values from ζ(5) to ζ(25) Is Irrational. By Elementary Means (2018) (17)
HEINE'S BASIC TRANSFORM AND A PERMUTATION GROUP FOR q-HARMONIC SERIES (2004) (17)
Very well-poised hypergeometric series and multiple integrals (2002) (17)
Approximations to -, di- and tri-logarithms (2004) (16)
On the Mahler measure of a family of genus 2 curves (2014) (16)
Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values (2006) (16)
A FEW REMARKS ON LINEAR FORMS INVOLVING CATALAN'S CONSTANT (2002) (16)
Algebraic independence of Mahler functions via radial asymptotics (2014) (16)
Number Theory and Related Fields, In Memory of Alf van der Poorten (2013) (15)
The irrationality measure of π is at most 7.103205334137… (2019) (15)
Remarks on irrationality of q-harmonic series (2002) (15)
Period(d)ness of L-Values (2013) (14)
A new lower bound for ||(3/2) k || (2007) (14)
New irrationality measures for q-logarithms (2005) (14)
Euler's factorial series and global relations (2017) (14)
Holonomic alchemy and series for $1/\pi$ (2015) (13)
Congruences for $${\varvec{q}}$$-Binomial Coefficients (2019) (13)
Об иррациональности значений дзета-функции Римана@@@Irrationality of values of the Riemann zeta function (2002) (13)
A modular supercongruence for $_6F_5$: an Ap\'ery-like story (2017) (13)
Supercongruences for rigid hypergeometric Calabi–Yau threefolds (2017) (12)
The Erdős-Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions (2009) (12)
A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds (2018) (12)
On the Mahler measure of hyperelliptic families (2016) (12)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: More Ramanujan-type formulae for 1/\pi^2 (2007) (12)
A note on odd zeta values (2018) (12)
Linear independence of dilogarithmic values (2018) (11)
Multiple $q$-zeta brackets (2014) (11)
On the non-quadraticity of values of the q-exponential function and related $q$-series (2008) (11)
Many Variations of Mahler Measures (2020) (11)
On a measure of irrationality for values of G-functions (1996) (10)
IRRATIONALITY MEASURES FOR CERTAIN q-MATHEMATICAL CONSTANTS (2007) (10)
О диофантовых задачах для $q$-дзета-значений@@@Diophantine Problems for $q$-Zeta Values (2002) (10)
Об оценках снизу многочленов от значений некоторых целых функций@@@Lower bounds for polynomials in the values of certain entire functions (1996) (10)
On the irrationality measure for a $ q$-analogue of $ \zeta(2)$ (2002) (10)
Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$ζ(2) (2013) (9)
On theorems of Gelfond and Selberg concerning integral-valued entire functions (2004) (9)
Number theory casting a look at the mirror (2000) (9)
On rational approximations of values of a certain class of entire functions (1995) (9)
On Sp_4 modularity of Picard--Fuchs differential equations for Calabi--Yau threefolds (with an appendix by Vicentiu Pasol) (2008) (9)
Lower bounds for polynomials in the values of certain entire functions (1996) (9)
О мере иррациональности $q$-аналога $\zeta(2)$@@@On the irrationality measure for a $q$-analogue of $\zeta(2)$ (2002) (9)
Thetanulls and differential equations (2000) (9)
A new lower bound for ${\Vert (3/2)^k\Vert }$ (2007) (9)
Формулы рамануджанова типа и меры иррациональности некоторых кратных числа $\pi$@@@Ramanujan-type formulae and irrationality measures of some multiples of $\pi$ (2005) (8)
A MAGNETIC DOUBLE INTEGRAL (2017) (8)
Theta Constants And Differential Equations (1999) (8)
Apéry's theorem: thirty years after (2009) (8)
Hankel Determinants of Zeta Values (2015) (8)
Ramanujan-type formulae and irrationality measures of some multiples of $ {\pi}$ (2005) (8)
Many values of the Riemann zeta function at odd integers are irrational (2018) (7)
Further explorations of Boyd's conjectures and a conductor 21 elliptic curve (2015) (7)
On Sp 4 modularity of Picard-Fuchs differential equations for Calabi-Yan threefolds (2008) (7)
Special Hypergeometric Motives and Their L-Functions: Asai Recognition (2019) (7)
An essay on irrationality measures of pi and other logarithms (2004) (6)
HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS (2018) (6)
On the irrationality of ?q(2) (2001) (6)
Rational Approximations to A q -Analogue of π and Some Other q -Series (2008) (6)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Very well-poised hypergeometric series and multiple integrals (2002) (6)
A Determinantal Approach to Irrationality (2015) (6)
О мере иррациональности значений $G$-функций@@@On a measure of irrationality for values of $G$-functions (1996) (6)
A study of elliptic gamma function and allies (2017) (6)
On the irrationality of the values of the zeta function at odd integer points (2001) (6)
Hypergeometric heritage of W. N. Bailey (2016) (5)
Derivatives of Siegel modular forms and exponential functions (2001) (5)
Well-poised generation of Apéry-like recursions (2003) (5)
Квадратичные преобразования и формулы Гиллеры для $1/\pi^2$@@@Quadratic Transformations and Guillera's Formulas for $1/\pi^2$ (2007) (5)
On the irrationality of generalized q-logarithm (2016) (5)
Automatic discovery of irrationality proofs and irrationality measures (2019) (5)
Cancellation of factorials (2000) (4)
Crouching AGM, Hidden Modularity (2016) (4)
HYPERGEOMETRIC MODULAR EQUATIONS (2016) (4)
The Erdős-Moser equation 1 k + 2 k + ··· +(m-1) k revisited using continued fractions (2011) (4)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the irrationality of the values of the zeta function at odd integer points (2001) (4)
Logarithmic and complex constant term identities (2011) (4)
Linear independence of values of Tschakaloff functions with different parameters (2008) (4)
DIOPHANTINE PROBLEMS FOR q-ZETA VALUES 1 (2002) (4)
Short Walk Adventures (2017) (4)
Mirror Maps and Zeta Values (2004) (4)
О целочисленности степенных разложений, связанных с гипергеометрическими рядами@@@Integrality of Power Expansions Related to Hypergeometric Series (2002) (4)
An elementary proof of the irrationality of Tschakaloff series (2005) (4)
Baker-Type Estimates for Linear Forms in the Values of q-Series (2005) (4)
A hypergeometric problem (2009) (4)
MAGNETIC (QUASI-)MODULAR FORMS (2020) (4)
Hypergeometric rational approximations to ζ(4) (2019) (4)
Тэта-константы и дифференциальные уравнения@@@Thetanulls and differential equations (2000) (3)
Two hypergeometric tales and a new irrationality measure of ζ(2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\zeta (2014) (3)
О биномиальных суммах, связанных с рациональными приближениями к $\zeta(4)$@@@Binomial Sums Related to Rational Approximations to $\zeta(4)$ (2004) (3)
The birthday boy problem (2021) (3)
Больше формул рамануджанова типа для $1/\pi^2$@@@More Ramanujan-type formulae for $1/\pi^2$ (2007) (3)
Reflecting (on) the modulo 9 Kanade--Russell (conjectural) identities (2021) (3)
Two Definite Integrals That Are Definitely (and Surprisingly!) Equal (2019) (3)
О рекурсии третьего порядка типа Апери для $\zeta(5)$@@@A Third-Order Apéry-Like Recursion for $\zeta (5)$ (2002) (3)
Approximations to -logarithms and -dilogarithms, with applications to -zeta values. (2005) (2)
Ap\'ery limits and Mahler measures (2021) (2)
Irrationality of certain numbers that contain values of the di- and trilogarithm (2006) (2)
Ap\'ery's theorem and problems for the values of Riemann's zeta function and their $q$-analogues (2013) (2)
Hypergeometric transformations of linear forms in one logarithm (2008) (2)
ONE PARAMETER MODELS OF HOPF ALGEBRAS ASSOCIATED WITH MULTIPLE ZETA VALUES (2001) (2)
The method of creative microscoping (2019) (2)
Linear independence of values of Tschakaloff series (2007) (2)
Multiple-integral representations of very-well-poised hypergeometric series (2002) (2)
Сокращение факториалов@@@Cancellation of factorials (2001) (2)
Одно из восьми чисел $\zeta(5),\zeta(7),…,\zeta(17),\zeta(19)$ иррационально@@@One of the Eight Numbers $\zeta(5),\zeta(7),…,\zeta(17),\zeta(19)$ Is Irrational (2001) (2)
Transformations of L-values (2012) (1)
WELL-POISED GENERATION (2003) (1)
Рекуррентные последовательности и мера иррациональности значений эллиптических интегралов@@@Recurrent sequences and the measure of irrationality of values of elliptic integrals (1997) (1)
О линейной независимости значений рядов Чакалова@@@Linear independence of values of Tschakaloff series (2007) (1)
Sums of powers of binomials, their Ap\'ery limits, and Franel's suspicions (2021) (1)
A VARIATION ON THE THEME OF NICOMACHUS (2017) (1)
Arithmetic of Catalan’s constant and its relatives (2018) (1)
О мере линейной и алгебраической независимости значений целых гипергеометрических функций@@@On the measure of linear and algebraic independence for values of entire hypergeometric functions (1997) (1)
О функциональной трансцендентности $q$-дзета-значений@@@On the Functional Transcendence of $q$-Zeta Values (2003) (1)
On the Mahler Measure Of (2011) (1)
Об обратном преобразовании Лежандра одного семейства последовательностей@@@The Inverse Legendre Transform of a Certain Family of Sequences (2004) (1)
Congruences for Hasse--Witt matrices and solutions of $p$-adic KZ equations (2021) (1)
On the Mahler measure of a family of genus 2 curves (2016) (1)
Exercising in complex Mahler measures: diamonds are not forever (2021) (1)
Modular regulators and multiple Eisenstein values (2023) (1)
New representations for apéry-like sequences | NOVA. The University of Newcastle's Digital Repository (2010) (1)
Lost in translation (2012) (1)
On simultaneous diophantine approximations to $\zeta(2)$ and $\zeta(3)$ (2013) (1)
Project: Hypergeometric motives and their L -functions (2017) (0)
Correction to: Short Walk Adventures (2017) (0)
HYPERGEOMETRIC (SUPER)CONGRUENCES (2009) (0)
A Determinantal Approach to Irrationality (2016) (0)
N T ] 2 8 N ov 2 00 3 WELL-POISED GENERATION OF APÉRY-LIKE RECURSIONS (2003) (0)
On a Family of Polynomials Related to $$\zeta (2,1)=\zeta (3)$$ (2014) (0)
New irrationality measures for q-logarithms | NOVA. The University of Newcastle's Digital Repository (2006) (0)
251 Arithmetic of linear forms involving odd zeta values par WADIM ZUDILIN RÉSUMÉ (2006) (0)
Diophantine problems related to the Omega constant (2020) (0)
HYPERGEOMETRIC SERIES AND APPROXIMATIONS OF MATHEMATICAL CONSTANTS (2007) (0)
Deninger’s method for multivariate polynomials (2020) (0)
A study of elliptic gamma function and allies (2018) (0)
EULER-TYPE MULTIPLE INTEGRALS AS LINEAR FORMS IN ZETA VALUES 1 (2003) (0)
The Erd ˝ Os–moser Equation 1 Revisited Using Continued Fractions (0)
A pr 2 01 8 Many odd zeta values are irrational (2018) (0)
BOOS–KOREPIN INTEGRALS (2009) (0)
On the Mahler measure of hyperelliptic families (2016) (0)
APÉRY LIMITS FOR ELLIPTIC $\boldsymbol {L}$ -VALUES (2021) (0)
Об иррациональности $\zeta_q(2)$@@@On the irrationality of $\zeta _q(2)$ (2001) (0)
Multiple Zeta Values 23 (2011) (0)
Arithmetic of Catalan’s constant and its relatives (2019) (0)
MZFs19 / NWI-WM149: Multiple Zeta Functions (2019) (0)
On cellular rational approximations to $\zeta(5)$ (2022) (0)
(q-)Supercongruences hit again (2020) (0)
О мере иррациональности $\pi^2$@@@On the irrationality measure of $\pi^2$ (2013) (0)
An essay on irrationality measures of logarithms (2004) (0)
Hypergeometric approximations to polylogarithms (2006) (0)
Transformations of $L$-values (Analytic Number Theory : related Multiple aspects of Arithmetic Functions) (2012) (0)
Supercongruences Occurred to Rigid Hypergeometric Type Calabi–Yau Threefolds (2019) (0)
Ramanujan-type supercongruences | NOVA. The University of Newcastle's Digital Repository (2009) (0)
SOME HYPERGEOMETRIC INTEGRALS FOR LINEAR FORMS IN ZETA VALUES (2018) (0)
RAMANUJAN AND ODD ZETA VALUES (2021) (0)
Discrete analogues of Ramanujan's series for 1/π (2008) (0)
Congruences for q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{q}}$$\end{document}-Binomial Coefficients (2019) (0)
$q$-rious and $q$-riouser (2019) (0)
On the irrationality of generalized q-logarithm (2016) (0)
Mahler measure numerology (2021) (0)
More Ramanujan-type formulae for 1/π² | NOVA. The University of Newcastle's Digital Repository (2007) (0)
Об алгебраической структуре функциональных матриц специального вида@@@On the algebraic structure of functional matrices of special form (1996) (0)
Legendre polynomials and Ramanujan-type series for 1/π (2012) (0)
A pr 2 00 4 AN ESSAY ON IRRATIONALITY MEASURES OF LOGARITHMS (0)
The Erdos-Moser equation 1 (2011) (0)
Approximations to-, di-and tri-logarithms Wadim Zudilin (2004) (0)
New irrationality measures for (2006) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Linear independence of values of Tschakaloff series (2007) (0)
'Divergent' Ramanujan-type supercongruences | NOVA. The University of Newcastle's Digital Repository (2012) (0)

This paper list is powered by the following services:

Other Resources About Wadim Zudilin

What Schools Are Affiliated With Wadim Zudilin?

Wadim Zudilin is affiliated with the following schools:

Wadim Zudilin's Academic­Influence.com Rankings

Why Is Wadim Zudilin Influential?

Wadim Zudilin's Published Works

Published Works

Other Resources About Wadim Zudilin

What Schools Are Affiliated With Wadim Zudilin?

Image Attributions

Wadim Zudilin's AcademicInfluence.com Rankings