Dr Vadim ( Wadim ) Zudilin

Work Phone	(02)4921 5530
Fax	(02)4921 6898
Email	Wadim.Zudilin@newcastle.edu.au
Office	236, V

Publications

For items published while at an institution other that the University of Newcastle, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Journal Articles (54 outputs)

Refereed Article in a Scholarly Journal (C1) (53 outputs)

Year	Citation	Link
2012	Borwein Jonathan Michael, Straub Armin, Wan Gufeng, Zudilin Vadim, 'Densities of short uniform random walks', Canadian Journal of Mathematics, 64 961-990 (2012) [C1]
2012	Chan Heng Huat, Wan Gufeng, Zudilin Vadim, 'Complex series for 1/π', Ramanujan Journal, 29 135-144 (2012) [C1]
2012	Guillera Jesus, Zudilin Vadim, ''Divergent' Ramanujan-type supercongruences', Proceedings of the American Mathematical Society, 140 765-777 (2012) [C1]
2012	Ohno Yasuo, Okuda Jun-Ichi, Zudilin Vadim, 'Cyclic q-MZSV sum', Journal of Number Theory, 132 144-155 (2012) [C1]
2012	Rogers Mathew, Zudilin Vadim, 'From L-series of elliptic curves to Mahler measures', Compositio Mathematica, 148 385-414 (2012) [C1]
2012	Wan Gufeng, Zudilin Vadim, 'Generating functions of Legendre polynomials: A tribute to Fred Brafman', Journal of Approximation Theory, 164 488-503 (2012) [C1]
2012	Warnaar S Ole, Zudilin Vadim, 'Dedekind's η-function and Rogers-Ramanujan identities', Bulletin of the London Mathematical Society, 44 1-11 (2012) [C1]
2011	Almkvist Gert, Van Straten Duco, Zudilin Vadim, 'Generalizations of Clausen's Formula and algebraic transformations of Calabi-Yau differential equations', Proceedings of the Edinburgh Mathematical Society, 54 273-295 (2011) [C1]
2011	Chan Heng Huat, Tanigawa Yoshio, Yang Yifan, Zudilin Vadim, 'New analogues of Clausen's identities arising from the theory of modular forms', Advances in Mathematics, 228 1294-1314 (2011) [C1]
2011	Gallot Yves, Moree Pieter, Zudilin Vadim, 'The Erd's-Moser equation 1^k +2^k + … +(m-1)^k = m^k revisited using continued fractions', Mathematics of Computation, 80 1221-1237 (2011) [C1]
2011	Warnaar S Ole, Zudilin Vadim, 'A q-rious positivity', Aequationes Mathematicae, 81 177-183 (2011) [C1]
2011	Zudilin Vadim, 'Arithmetic hypergeometric series', Russian Mathematical Surveys, 66 369-420 (2011) [C1]
2010	Bailey David H, Borwein Jonathan Michael, Broadhurst David, Zudilin Vadim, 'Experimental mathematics and mathematical physics', Contemporary Mathematics, 517 41-58 (2010) [C1]
2010	Chan Heng Huat, Long Ling, Zudilin Vadim, 'A supercongruence motivated by the Legendre family of elliptic curves', Mathematical Notes, 88 599-602 (2010) [C1]
2010	Chan Heng Huat, Zudilin Vadim, 'New representations for apery-like sequences', Mathematika, 56 107-117 (2010) [C1]
2010	Fischler S, Zudilin Vadim, 'A refinement of Nesterenko's linear independence criterion with applications to zeta values', Mathematische Annalen, 347 739-763 (2010) [C1]
2010	Yang Yifan, Zudilin Vadim, 'On Sp₄ modularity of Picard-Fuchs differential equations for Calabi-Yan threefolds', Contemporary Mathematics, 517 381-413 (2010) [C1]
2009	KRATTENTHALER C, ROCHEV I, VAANANEN K, ZUDILIN V, 'On the non-quadraticity of values of the q-exponential function and related q-series', Acta Arithmetica, 136 243-269 (2009) [C1]
2009	ZUDILIN V, 'A hypergeometric problem', Journal of Computational and Applied Mathematics, 233 856-857 (2009) [C1]
2009	ZUDILIN V, 'Apery’s theorem. Thirty years after', International Journal of Mathematics and Computer Science, 4 9-19 (2009) [C1]
2009	ZUDILIN V, 'Ramanujan-type supercongruences', Journal of Number Theory, 129 1848-1857 (2009) [C1]
2008	OHNO Y, ZUDILIN W, 'Zeta Stars', Communications in Number Theory and Physics, 2 325-347 (2008) [C1]
2008	VIOLA C, ZUDILIN W, 'Hypergeometric transformations of linear forms in one logarithm', Functiones et Approximatio Commentarii Mathematici, 39 211-222 (2008) [C1]
2008	ZUDILIN W, 'Linear independence of values of Tschakaloff functions with different parameters', Journal of Number Theory, 128 2549-2558 (2008) [C1]
2007	BUNDSCHUH P, ZUDILIN W, 'Irrationality measures for certain q-mathematical constants', Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci, 101 104-122 (2007) [C1]
2007	VAANANEN K, ZUDILIN W, 'Linear independence of values of Tschakaloff series', Russian Mathematical Surveys, 62 196-198 (2007) [C1]
2007	ZUDILIN W, 'A new lower bound for II(3/2)kII', Journal de Theorie des Nombres de Bordeaux, 19 313-325 (2007) [C1]
2007	ZUDILIN W, 'An elementary proof of the irrationality of Tschakaloff series', Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics, 146 5669-5673 (2007) [C1]
2007	ZUDILIN W, 'Approximations to -, di- and tri- logarithms', Journal of Computational and Applied Mathematics, 202 450-459 (2007) [C1]
2007	ZUDILIN W, 'More Ramanujan-type formulae for 1/p2', Russian Mathematical Surveys, 62 634-636 (2007) [C1]
2007	ZUDILIN W, 'Quadratic Transformations and Guillera’s Formulas for 1/p2', Russian Academy of Sciences: Mathematical Notes, 81 297-301 (2007) [C1]
2006	HESSAMI PILEHROOD K H, HESSAMI PILEHROOD T, ZUDILIN W, 'Irrationality of certain numbers that contain values of the di- and trilogarithm', Mathematische Zeitschrift, 254 299-313 (2006) [C1]
2006	KRATTENTHALER C, RIVOAL T, ZUDILIN W, 'Series hypergeometriques basiques, q-analogues des valeurs de la fonction zeta et formes modulaires', Journal of the Institute of Mathematics of Jussieu, 5 53-79 (2006) [C1]
2006	MATALO-AHO T, VAANANEN K, ZUDILIN W, 'New irrationality measures for q-logarithms', Mathematics of Computation, 75 879-889 (2006) [C1]
2006	SONDOW J, ZUDILIN W, 'Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper', The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, 12 225-244 (2006) [C1]
2006	ZUDILIN W, 'Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values', Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics, 137 4673-4683 (2006) [C1]
2005	VAANANEN K, ZUDILIN W, 'Baker-type estimates for linear forms in the values of q-series', Canadian Mathematical Bulletin, 48 147-160 (2005) [C1]
2005	ZUDILIN W, 'Computing powers of two generalizations of the logarithm', Seminaire Lotharingien de Combinatoire, 53 1-6 (2005) [C1]
2005	ZUDILIN W, 'Well-poised generation of Apery-like recursions', Journal of Computational and Applied Mathematics, 178 513-521 (2005) [C1]
2004	BUNDSCHUH P, ZUDILIN W, 'On theorems of Gelfond and Selberg concerning integral-valued entire functions', Journal of Approximation Theory, 130 164-178 (2004) [C1]
2004	ZUDILIN W, 'Arithmetic of linear forms involving odd zeta values', Journal de Theorie des Nombres de Bordeaux, 16 251-291 (2004) [C1]
2004	ZUDILIN W, 'Binomial sums related to rational approximations to ¿(4)', Russian Academy of Sciences: Mathematical Notes, 75 594-597 (2004) [C1]
2004	ZUDILIN W, 'Heine's basic transform and a permutation group for q-harmonic series', Acta Arithmetica, 111 153-164 (2004) [C1]
2004	ZUDILIN W, 'On a combinatorial problem of Asmus Schmidt', Journal of Combinatorics, 11 1-8 (2004) [C1]
2004	ZUDILIN W, 'The inverse Legendre transform of a certain family of sequences', Russian Academy of Sciences: Mathematical Notes, 76 276-279 (2004) [C1]
2004	ZUDILIN W, 'Well-poised hypergeometric transformations of Euler-type multiple integrals', Journal of London Mathematical Society, 70 215-230 (2004) [C1]
2003	BERTRAND D, ZUDILIN W, 'On the transcendence degree of the differential field generated by Siegel modular forms', Journal fuer die Reine und Angewandte Mathematik: Crelle s journal, 554 47-68 (2003) [C1]
2003	RIVOAL T, ZUDILIN W, 'Diophantine properties of numbers related to Catalan's constant', Mathematische Annalen, 326 705-721 (2003) [C1]
2003	ZUDILIN W, 'Algebraic relations for multiple zeta values', Russian Academy of Sciences: Mathematical Notes, 81 335-340 (2003) [C1]
2003	ZUDILIN W, 'An Apéry-like difference equation for Catalan's constant', Journal of Combinatorics, 10 1-10 (2003) [C1]
2003	ZUDILIN W, 'On the functional transcendence of q-zeta values', Russian Academy of Sciences: Mathematical Notes, 73 588-589 (2003) [C1]
2003	ZUDILIN W, 'The hypergeometric equation and Ramanujan functions', The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, 7 435-447 (2003) [C1]
2003	ZUDILIN W, 'Well-poised hypergeometric service for diophantine problems of zeta values', Journal de Theorie des Nombres de Bordeaux, 15 593-626 (2003) [C1]
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Non Refereed Article in a Professional Journal (C3) (1 outputs)

Year	Citation	Link
2011	Zudilin Vadim, 'Book Review: Ramanujan's Lost Notebook. Part II, G.E. Andrews, B.C. Berndt', Journal of Approximation Theory, 163 1037-1038 (2011) [C3]

Conference Publication (4 outputs)

Full Written Paper - Refereed (E1) (4 outputs)

Year	Citation	Link
2008	ALMKVIST G, VAN STRATEN D, ZUDILIN W, 'Apery limits of differential equations of order 4 and 5', Modular Forms and String Duality - Fields Institute Communications, Banff, Canada (2008) [E1]
2008	BUNDSCHUH P, ZUDILIN W, 'Rational approximations to a q-analogue of p and some other q-series', Diophantine Approximation, Vienna, Austria (2008) [E1]
2008	ZUDILIN W, 'Ramanujan-type formulae for 1/p: A second wind?', Modular Forms and String Duality - Fields Institute Communications, Banff, Canada (2008) [E1]
2006	ALMKVIST G, ZUDILIN W, 'Differential equations, mirror maps and zeta values', Mirror Symmetry V, Banff, Canada (2006) [E1]
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