# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: zudilin.wadim Published as: Zudilin, Wadim; Zudilin, V. V.; Zudilin, W.; Zudilin, W. V. Homepage: http://www.math.ru.nl/~wzudilin/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp · GND
 Documents Indexed: 139 Publications since 1995, including 3 Books Reviewing Activity: 62 Reviews
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#### Co-Authors

 64 single-authored 6 Straub, Armin 6 Wan, James Gu Feng 5 Chan, Heng Huat 5 Guo, Victor J. W. 5 Väänänen, Keijo O. 4 Borwein, Jonathan Michael 3 Almkvist, Gert 3 Bundschuh, Peter 3 Cooper, Shaun 3 Fischler, Stéphane 3 Guillera, Jesús 3 Krattenthaler, Christian Friedrich 3 Rivoal, Tanguy 3 Warnaar, S. Ole 3 Zeilberger, Doron 2 Bertin, Marie-Jose 2 Bertrand, Daniel 2 Broadhurst, David John 2 Long, Ling 2 Matala-aho, Tapani 2 Ohno, Yasuo 2 Osburn, Robert 2 Rogers, Mathew D. 2 Sprang, Johannes 2 van Straten, Duco 2 Viola, Carlo 2 Yang, Yifan 1 Bailey, David Harold 1 Brent, Richard Peirce 1 Brunault, François 1 Chappell, Tom 1 Coons, Michael 1 Dauguet, Simon 1 Ekhad, Shalosh B. (computer) 1 Gallot, Yves 1 Haynes, Alan K. 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Lalín, Matilde N. 1 Lascoux, Alain 1 Luca, Florian 1 Marcovecchio, Raffaele 1 Moree, Pieter 1 Okuda, Jun-ichi 1 Pasol, Vicentiu 1 Polanco, Geremías 1 Rochev, Igor 1 Samart, Detchat 1 Shallit, Jeffrey O. 1 Shparlinski, Igor E. 1 Sondow, Jonathan D. 1 Tanigawa, Yoshio 1 Tu, Fang-Ting 1 van der Poorten, Alfred J. 1 Yui, Noriko
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#### Serials

 12 Mathematical Notes 9 Russian Mathematical Surveys 6 Sbornik: Mathematics 5 Journal of Number Theory 4 Journal of Approximation Theory 3 Bulletin of the Australian Mathematical Society 3 Journal of Computational and Applied Mathematics 3 Journal de Théorie des Nombres de Bordeaux 3 Izvestiya: Mathematics 3 The Ramanujan Journal 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Acta Arithmetica 2 Advances in Mathematics 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 2 Journal of the Australian Mathematical Society 2 Chebyshevskiĭ Sbornik 2 Australian Mathematical Society Lecture Series 2 Annales Mathématiques du Québec 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Mathematika 1 Results in Mathematics 1 Constructive Approximation 1 Aequationes Mathematicae 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Annals of Combinatorics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 International Journal of Mathematics and Computer Science 1 Communications in Number Theory and Physics 1 Moscow Journal of Combinatorics and Number Theory 1 Springer Proceedings in Mathematics & Statistics 1 Mathematics 1 ICCM Notices 1 Research in the Mathematical Sciences 1 Research in Number Theory
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#### Fields

 130 Number theory (11-XX) 82 Special functions (33-XX) 11 Combinatorics (05-XX) 8 Algebraic geometry (14-XX) 6 Approximations and expansions (41-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX)

#### Citations contained in zbMATH Open

115 Publications have been cited 983 times in 587 Documents Cited by Year
Ramanujan-type supercongruences. Zbl 1231.11147
2009
Zeta stars. Zbl 1228.11132
2008
Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2011
Algebraic relations for multiple zeta values. Zbl 1171.11323
Zudilin, V. V.
2003
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
2016
Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327
2004
One of the numbers $$\zeta(5)$$, $$\zeta(7)$$, $$\zeta(9)$$, $$\zeta(11)$$ is irrational. Zbl 1047.11072
Zudilin, V. V.
2001
Ramanujan-type formulae for $$1/\pi$$: a second wind? Zbl 1159.11053
2008
From $$L$$-series of elliptic curves to Mahler measures. Zbl 1260.11062
2012
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
2012
New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009
Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim
2011
Irrationality of values of the Riemann zeta function. Zbl 1114.11305
Zudilin, W.
2002
Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046
Rivoal, T.; Zudilin, W.
2003
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
Congruences for $$q$$-binomial coefficients. Zbl 1431.11032
2019
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
New representations for Apéry-like sequences. Zbl 1275.11035
2010
Cyclic $$q$$-MZSV sum. Zbl 1268.11119
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim
2012
On the Mahler measure of $$1+X+1/X+Y +1/Y$$. Zbl 1378.11091
2014
Basic hypergeometric series, $$q$$-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, $$q$$-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038
Krattenthaler, C.; Rivoal, T.; Zudilin, W.
2006
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
Differential equations, mirror maps and zeta values. Zbl 1118.14043
2006
Dedekind’s $$\eta$$-function and Rogers-Ramanujan identities. Zbl 1234.05040
2012
Legendre polynomials and Ramanujan-type series for $$1/\pi$$. Zbl 1357.11123
Chan, Heng Huat; Wan, James; Zudilin, Wadim
2013
Regulator of modular units and Mahler measures. Zbl 1386.11129
2014
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
2010
Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326
2003
Arithmetic hypergeometric series. Zbl 1225.33008
Zudilin, V. V.
2011
On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026
2015
The hypergeometric equation and Ramanujan functions. Zbl 1072.11052
Zudilin, W.
2003
Heine’s basic transform and a permutation group for $$q$$-harmonic series. Zbl 1052.11053
2004
Approximations to $$q$$-logarithms and $$q$$-dilogarithms, with applications to $$q$$-zeta values. Zbl 1088.11052
Zudilin, W.
2005
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
More Ramanujan-type formulae for $$1/\pi^2$$. Zbl 1203.11088
Zudilin, V. V.
2007
Euler’s constant, $$q$$-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056
2006
Diophantine problems for $$q$$-zeta values. Zbl 1044.11066
Zudilin, V. V.
2002
Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018
2012
Quadratic transformations and Guillera’s formulas for $$1/\pi^2$$. Zbl 1144.33002
Zudilin, V. V.
2007
An Apéry-like difference equation for Catalan’s constant. Zbl 1093.11075
Zudilin, W.
2003
Irrationality measures for certain $$q$$-mathematical constants. Zbl 1153.11034
2007
A $$q$$-rious positivity. Zbl 1234.11023
Warnaar, S. Ole; Zudilin, W.
2011
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2019
Lower bounds for polynomials in the values of certain entire functions. Zbl 0878.11030
Zudilin, V. V.
1996
On the integrality of power expansions related to hypergeometric series. Zbl 1043.11060
Zudilin, V. V.
2002
On the irrationality measure for a $$q$$-analogue of $$\zeta(2)$$. Zbl 1044.11067
Zudilin, W. V.
2002
On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020
Bertrand, D.; Zudilin, W.
2003
An essay on the irrationality measure of $$\pi$$ and other logarithms. Zbl 1140.11036
Zudilin, V. V.
2004
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2018
New irrationality measures for $$q$$-logarithms. Zbl 1158.11033
Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim
2006
Period(d)ness of $$L$$-values. Zbl 1316.11038
2013
On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076
2016
Multiple $$q$$-zeta brackets. Zbl 1312.11069
2015
One of the odd zeta values from $$\zeta(5)$$ to $$\zeta(25)$$ is irrational. By elementary means. Zbl 1445.11063
2018
Approximations to di- and tri-logarithms. Zbl 1220.65028
2007
Euler’s factorial series and global relations. Zbl 1444.11037
2018
A third-order Apéry-like recursion for $$\zeta(5)$$. Zbl 1041.11057
Zudilin, V. V.
2002
Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054
Zudilin, W.
2004
Very well-poised hypergeometric series and multiple integrals. Zbl 1229.33011
Zudilin, V. V.
2002
Ramanujan-type formulae and irrationality measures of some multiples of $$\pi$$. Zbl 1114.11064
Zudilin, V. V.
2005
Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim
2016
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
On the Mahler measure of hyperelliptic families. Zbl 1434.11211
2017
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
2010
The Erdős–Moser equation $$1^k+2^k+\cdots +(m-1)^k=m^k$$ revisited using continued fractions. Zbl 1231.11038
Gallot, Yves; Moree, Pieter; Zudilin, Wadim
2011
A modular supercongruence for $${}_6 F_5$$: an Apéry-like story. (Une supercongruence modulaire pour $${}_6 F_5$$: un conte à la Apéry.) Zbl 1429.11039
Osburn, Robert; Straub, Armin; Zudilin, Wadim
2018
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2019
On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051
2004
Baker-type estimates for linear forms in the values of $$q$$-series. Zbl 1064.11054
2005
Some remarks on linear forms containing Catalan’s constant. Zbl 1099.11036
Zudilin, V. V.
2002
On simultaneous Diophantine approximations to $$\zeta(2)$$ and $$\zeta(3)$$. Zbl 1315.11062
2014
Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$. Zbl 1307.11085
2014
On the non-quadraticity of values of the $$q$$-exponential function and related $$q$$-series. Zbl 1232.11080
Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim
2009
Experimental mathematics and mathematical physics. Zbl 1221.82006
2010
A new lower bound for $$\|(3/2)^k\|$$. Zbl 1127.11049
2007
Apéry’s theorem. Thirty years after. Zbl 1223.11089
2009
Difference equations and the irrationality measure of numbers. Zbl 0910.11032
Zudilin, V. V.
1997
One of the eight numbers $$\zeta(5),\zeta(7),\cdots,\zeta(17),\zeta(19)$$ is irrational. Zbl 1022.11035
Zudilin, V. V.
2001
On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012
Zudilin, W.
2004
On the irrationality of the values of the zeta function at odd integer points. Zbl 1037.11048
Zudilin, V. V.
2001
Remarks on irrationality of $$q$$-harmonic series. Zbl 1044.11068
2002
Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013
Bertrand, D.; Zudilin, W.
2001
A generating function of the squares of Legendre polynomials. Zbl 1334.33022
2014
Rational approximations to a $$q$$-analogue of $$\pi$$ and some other $$q$$-series. Zbl 1213.11146
2008
A hypergeometric problem. Zbl 1178.33007
2009
On rational approximations of values of a certain class of entire functions. Zbl 0848.11031
Zudilin, V. V.
1995
Thetanulls and differential equations. Zbl 1021.11011
Zudilin, V. V.
2000
On a measure of irrationality for values of $$G$$-functions. Zbl 0931.11025
Zudilin, V. V.
1996
Binomial sums related to rational approximations to $$\zeta(4)$$. Zbl 1070.11029
Zudilin, V. V.
2004
Hankel determinants of zeta values. Zbl 1387.11054
2015
Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2008
Lost in translation. Zbl 1285.33008
2013
Hypergeometry inspired by irrationality questions. Zbl 1450.11072
2019
On $$\mathrm{Sp}_4$$ modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. Zbl 1283.11073
2010
An elementary proof of the irrationality of Tschakaloff series. Zbl 1204.11112
Zudilin, W.
2007
Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008
2008
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
Recurrent sequences and the measure of irrationality of values of elliptic integrals. Zbl 0917.11031
Zudilin, V. V.
1997
Cancellation of factorials. Zbl 1030.11032
Zudilin, V. V.
2001
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
Congruences for $$q$$-binomial coefficients. Zbl 1431.11032
2019
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2019
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2019
Hypergeometry inspired by irrationality questions. Zbl 1450.11072
2019
Hypergeometric modular equations. Zbl 1428.33014
2019
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2018
One of the odd zeta values from $$\zeta(5)$$ to $$\zeta(25)$$ is irrational. By elementary means. Zbl 1445.11063
2018
Euler’s factorial series and global relations. Zbl 1444.11037
2018
A modular supercongruence for $${}_6 F_5$$: an Apéry-like story. (Une supercongruence modulaire pour $${}_6 F_5$$: un conte à la Apéry.) Zbl 1429.11039
Osburn, Robert; Straub, Armin; Zudilin, Wadim
2018
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073
2018
A variation on the theme of Nicomachus. Zbl 1410.11079
Luca, Florian; Polanco, Geremías; Zudilin, Wadim
2018
Linear independence of dilogarithmic values. Zbl 1454.11131
2018
A study of elliptic gamma function and allies. Zbl 1440.11063
2018
On the Mahler measure of hyperelliptic families. Zbl 1434.11211
2017
A determinantal approach to irrationality. Zbl 1367.11062
2017
Holonomic alchemy and series for $$1/\pi$$. Zbl 1391.11165
Cooper, Shaun; Wan, James G.; Zudilin, Wadim
2017
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
2016
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076
2016
Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim
2016
On the irrationality of generalized $$q$$-logarithm. Zbl 1415.11099
2016
On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026
2015
Multiple $$q$$-zeta brackets. Zbl 1312.11069
2015
Hankel determinants of zeta values. Zbl 1387.11054
2015
Positivity of rational functions and their diagonals. Zbl 1374.05023
2015
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
On the Mahler measure of $$1+X+1/X+Y +1/Y$$. Zbl 1378.11091
2014
Regulator of modular units and Mahler measures. Zbl 1386.11129
2014
On simultaneous Diophantine approximations to $$\zeta(2)$$ and $$\zeta(3)$$. Zbl 1315.11062
2014
Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$. Zbl 1307.11085
2014
A generating function of the squares of Legendre polynomials. Zbl 1334.33022
2014
Legendre polynomials and Ramanujan-type series for $$1/\pi$$. Zbl 1357.11123
Chan, Heng Huat; Wan, James; Zudilin, Wadim
2013
Period(d)ness of $$L$$-values. Zbl 1316.11038
2013
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
Lost in translation. Zbl 1285.33008
2013
Generating functions of Legendre polynomials: a tribute to Fred Brafman. Zbl 1282.33015
2013
From $$L$$-series of elliptic curves to Mahler measures. Zbl 1260.11062
2012
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
2012
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
Cyclic $$q$$-MZSV sum. Zbl 1268.11119
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim
2012
Dedekind’s $$\eta$$-function and Rogers-Ramanujan identities. Zbl 1234.05040
2012
Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018
2012
Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2011
New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009
Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim
2011
Arithmetic hypergeometric series. Zbl 1225.33008
Zudilin, V. V.
2011
A $$q$$-rious positivity. Zbl 1234.11023
Warnaar, S. Ole; Zudilin, W.
2011
The Erdős–Moser equation $$1^k+2^k+\cdots +(m-1)^k=m^k$$ revisited using continued fractions. Zbl 1231.11038
Gallot, Yves; Moree, Pieter; Zudilin, Wadim
2011
New representations for Apéry-like sequences. Zbl 1275.11035
2010
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
2010
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
2010
Experimental mathematics and mathematical physics. Zbl 1221.82006
2010
On $$\mathrm{Sp}_4$$ modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. Zbl 1283.11073
2010
Ramanujan-type supercongruences. Zbl 1231.11147
2009
On the non-quadraticity of values of the $$q$$-exponential function and related $$q$$-series. Zbl 1232.11080
Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim
2009
Apéry’s theorem. Thirty years after. Zbl 1223.11089
2009
A hypergeometric problem. Zbl 1178.33007
2009
Zeta stars. Zbl 1228.11132
2008
Ramanujan-type formulae for $$1/\pi$$: a second wind? Zbl 1159.11053
2008
Rational approximations to a $$q$$-analogue of $$\pi$$ and some other $$q$$-series. Zbl 1213.11146
2008
Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2008
Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008
2008
Linear independence of values of Tschakaloff functions with different parameters. Zbl 1173.11044
2008
More Ramanujan-type formulae for $$1/\pi^2$$. Zbl 1203.11088
Zudilin, V. V.
2007
Quadratic transformations and Guillera’s formulas for $$1/\pi^2$$. Zbl 1144.33002
Zudilin, V. V.
2007
Irrationality measures for certain $$q$$-mathematical constants. Zbl 1153.11034
2007
Approximations to di- and tri-logarithms. Zbl 1220.65028
2007
A new lower bound for $$\|(3/2)^k\|$$. Zbl 1127.11049
2007
An elementary proof of the irrationality of Tschakaloff series. Zbl 1204.11112
Zudilin, W.
2007
Linear independence of values of Tschakaloff series. Zbl 1173.11043
Väänänen, K.; Zudilin, V. V.
2007
Basic hypergeometric series, $$q$$-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, $$q$$-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038
Krattenthaler, C.; Rivoal, T.; Zudilin, W.
2006
Differential equations, mirror maps and zeta values. Zbl 1118.14043
2006
Euler’s constant, $$q$$-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056
2006
New irrationality measures for $$q$$-logarithms. Zbl 1158.11033
Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim
2006
Approximations to $$q$$-logarithms and $$q$$-dilogarithms, with applications to $$q$$-zeta values. Zbl 1088.11052
Zudilin, W.
2005
Ramanujan-type formulae and irrationality measures of some multiples of $$\pi$$. Zbl 1114.11064
Zudilin, V. V.
2005
Baker-type estimates for linear forms in the values of $$q$$-series. Zbl 1064.11054
2005
Well-poised generation of Apéry-like recursions. Zbl 1063.11026
2005
Computing powers of two generalizations of the logarithm. Zbl 1088.11015
2005
Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327
2004
Heine’s basic transform and a permutation group for $$q$$-harmonic series. Zbl 1052.11053
2004
An essay on the irrationality measure of $$\pi$$ and other logarithms. Zbl 1140.11036
Zudilin, V. V.
2004
Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054
Zudilin, W.
2004
On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051
2004
On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012
Zudilin, W.
2004
Binomial sums related to rational approximations to $$\zeta(4)$$. Zbl 1070.11029
Zudilin, V. V.
2004
Algebraic relations for multiple zeta values. Zbl 1171.11323
Zudilin, V. V.
2003
Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046
Rivoal, T.; Zudilin, W.
2003
Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326
2003
The hypergeometric equation and Ramanujan functions. Zbl 1072.11052
Zudilin, W.
2003
An Apéry-like difference equation for Catalan’s constant. Zbl 1093.11075
Zudilin, W.
2003
On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020
Bertrand, D.; Zudilin, W.
2003
Irrationality of values of the Riemann zeta function. Zbl 1114.11305
Zudilin, W.
2002
Diophantine problems for $$q$$-zeta values. Zbl 1044.11066
Zudilin, V. V.
2002
On the integrality of power expansions related to hypergeometric series. Zbl 1043.11060
Zudilin, V. V.
2002
On the irrationality measure for a $$q$$-analogue of $$\zeta(2)$$. Zbl 1044.11067
Zudilin, W. V.
2002
A third-order Apéry-like recursion for $$\zeta(5)$$. Zbl 1041.11057
Zudilin, V. V.
2002
...and 15 more Documents
all top 5

#### Cited by 484 Authors

 58 Zudilin, Wadim 45 Guo, Victor J. W. 18 Rivoal, Tanguy 15 Liu, Jicai 13 Fischler, Stéphane 11 Straub, Armin 10 Guillera, Jesús 10 He, Bing 10 Hessami Pilehrood, Khodabakhsh 10 Hessami Pilehrood, Tatiana 10 Wan, James Gu Feng 8 Borwein, Jonathan Michael 8 Chan, Heng Huat 8 Lalín, Matilde N. 8 Mao, Guo-Shuai 8 Matala-aho, Tapani 8 Rogers, Mathew D. 8 Väänänen, Keijo O. 7 Bachmann, Henrik 7 Cooper, Shaun 6 Bundschuh, Peter 6 Chu, Wenchang 6 Ebrahimi-Fard, Kurusch 6 Folsom, Amanda 6 Schlosser, Michael J. 6 Wang, Xiaoxia 6 Wei, Chuanan 5 Delaygue, Éric 5 Eie, Minking 5 Genčev, Marian 5 Kalita, Gautam 5 Long, Ling 5 Manchon, Dominique 5 Osburn, Robert 5 Samart, Detchat 5 Singer, Johannes Maria 5 Sun, Zhihong 5 Warnaar, S. Ole 5 Zhao, Jianqiang 5 Zhou, Yajun 4 Brunault, François 4 Coons, Michael 4 Krattenthaler, Christian Friedrich 4 Luca, Florian 4 Marcovecchio, Raffaele 4 Nesterenko, Yuriĭ Valentinovich 4 Pan, Hao 4 Pupyrev, Yuri A. 4 Sondow, Jonathan D. 4 Van Assche, Walter 4 van Straten, Duco 4 Ye, Dongxi 4 Zeng, Jiang 3 Berndt, Bruce Carl 3 Bouillot, Olivier 3 Bradley, David M. 3 Bringmann, Kathrin 3 Dixit, Atul 3 Guo, Li 3 Jana, Arijit 3 Jouhet, Frédéric 3 Machide, Tomoya 3 Maillard, Jean-Marie 3 Maji, Bibekananda 3 Movasati, Hossein 3 Murty, Maruti Ram 3 Ni, He-Xia 3 Ong, Yaolin 3 Pila, Jonathan 3 Roques, Julien 3 Sahu, Brundaban 3 Sprang, Johannes 3 Tachiya, Yohei 3 Wang, Su-Dan 3 Yang, Yifan 3 Yue, Mingbing 3 Zeilberger, Doron 3 Zlobin, S. A. 2 Allouche, Jean-Paul Simon 2 Almkvist, Gert 2 Bailey, David Harold 2 Baruah, Nayandeep Deka 2 Bell, Jason P. 2 Bertin, Marie-Jose 2 Bézivin, Jean-Paul 2 Blümlein, Johannes 2 Bostan, Alin 2 Cai, Tianxin 2 Calinescu, Corina 2 Castillo-Medina, Jaime 2 Chen, Shaoshi 2 Chen, William Yong-Chuan 2 Chen, Xiaojing 2 Chetry, Arjun Singh 2 Choi, Junesang 2 Cohl, Howard Saul 2 Dauguet, Simon 2 D’Aurizio, Jacopo 2 D’Hoker, Eric 2 Diamantis, Nikolaos ...and 384 more Authors
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#### Cited in 143 Serials

 48 The Ramanujan Journal 42 Journal of Number Theory 36 International Journal of Number Theory 27 Journal of Mathematical Analysis and Applications 19 Proceedings of the American Mathematical Society 15 Mathematical Notes 14 Results in Mathematics 12 Journal de Théorie des Nombres de Bordeaux 12 Journal of Difference Equations and Applications 11 Advances in Applied Mathematics 11 Integral Transforms and Special Functions 11 Research in Number Theory 10 Advances in Mathematics 9 Bulletin of the Australian Mathematical Society 9 Journal of Approximation Theory 9 Journal of the Australian Mathematical Society 8 Compositio Mathematica 7 Israel Journal of Mathematics 7 Acta Arithmetica 7 Journal of Algebra 7 Journal of Mathematical Sciences (New York) 6 Journal of Computational and Applied Mathematics 6 Manuscripta Mathematica 6 Monatshefte für Mathematik 6 Transactions of the American Mathematical Society 6 Journal of Symbolic Computation 6 Journal of High Energy Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Mathematische Zeitschrift 5 Integers 4 Functiones et Approximatio. Commentarii Mathematici 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Archiv der Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Experimental Mathematics 3 Journal of Integer Sequences 3 Proceedings of the Steklov Institute of Mathematics 3 Annales Mathématiques du Québec 3 Mathematics 3 Research in the Mathematical Sciences 3 Electronic Research Archive 2 American Mathematical Monthly 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Problems of Information Transmission 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 Constructive Approximation 2 International Journal of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Annales Mathématiques Blaise Pascal 2 Documenta Mathematica 2 Journal of Inequalities and Applications 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Chebyshevskiĭ Sbornik 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Algebra 1 Computer Physics Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 The Mathematical Gazette 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Mathematika 1 Nagoya Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Tsukuba Journal of Mathematics ...and 43 more Serials
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#### Cited in 45 Fields

 489 Number theory (11-XX) 265 Special functions (33-XX) 107 Combinatorics (05-XX) 45 Algebraic geometry (14-XX) 23 Approximations and expansions (41-XX) 19 Quantum theory (81-XX) 18 Ordinary differential equations (34-XX) 18 Numerical analysis (65-XX) 17 Functions of a complex variable (30-XX) 16 Sequences, series, summability (40-XX) 16 Computer science (68-XX) 14 Probability theory and stochastic processes (60-XX) 12 $$K$$-theory (19-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Nonassociative rings and algebras (17-XX) 9 Associative rings and algebras (16-XX) 9 Integral transforms, operational calculus (44-XX) 7 Mathematical logic and foundations (03-XX) 7 Real functions (26-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Field theory and polynomials (12-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX)

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