Wadim Zudilin

Algebra and Number Theory · 2001–2019

A researcher in the Science corpus: 20 papers; trusts 26 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 60 citations into it; #96 of 2,864 by trust here, #141 by citations
• Discrete Mathematics and Combinatorics — 38 citations into it; #92 of 2,017 by trust here, #167 by citations
• Geometry and Topology — 25 citations into it
• Applied Mathematics — 24 citations into it; #5,782 of 7,620 by trust here, #3,589 by citations
• Mathematical Physics — 16 citations into it; #2,183 of 8,562 by trust here, #2,795 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #9,743 of 10,127 by trust here, #6,421 by citations

Whom Wadim Zudilin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Dermot McCarthy
2. Victor J. W. Guo
3. Ling Long
4. Robert Osburn
5. Holly Swisher
6. Eric T. Mortenson
7. Ofir Gorodetsky
8. Heng Huat Chan
9. T. Kilbourn
10. Bing He

Who trusts Wadim Zudilin overall

1. Victor J. W. Guo
2. Ji-Cai Liu
3. Zhi-Wei Sun
4. Holly Swisher
5. Jesús Guillera
6. Robert Osburn
7. Armin Straub
8. Heng Huat Chan
9. Su-Dan Wang
10. Ling Long

Papers from Wadim Zudilin's perspective

Ordered by how strongly the researchers Wadim Zudilin trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the supercongruence conjectures of van Hamme
2. A p-adic analogue of a formula of Ramanujan
3. On the (K.2) supercongruence of Van Hamme
4. An extension of the Apéry number supercongruence
5. A Gaussian hypergeometric series evaluation and Apéry number congruences
6. A p-ADIC SUPERCONGRUENCE CONJECTURE OF VAN HAMME
7. Hypergeometric evaluation identities and supercongruences
8. A q-microscope for supercongruences (Advances in Mathematics)
9. Supercongruences on Truncated Hypergeometric Series
10. q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon (International Journal of Number Theory)

Their papers

• Congruences for q-Binomial Coefficients (2019) — 59 citations
• A q-microscope for supercongruences (2018) — 258 citations
• On a q-deformation of modular forms (2018) — 50 citations
• On the (K.2) supercongruence of Van Hamme (2015) — 63 citations
• Neverending Fractions: An Introduction to Continued Fractions (2014) — 56 citations
• Full length article: Generating functions of Legendre polynomials: A tribute to Fred Brafman (2012) — 48 citations
• Densities of Short Uniform Random Walks (2011) — 79 citations
• New analogues of Clausen’s identities arising from the theory of modular forms | NOVA. The University of Newcastle's Digital Repository (2011) — 59 citations
• On the Mahler Measure of 1+X+1/X+Y +1/Y (2011) — 60 citations
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations (2011) — 64 citations
• New representations for Apéry-like sequences (2010) — 53 citations
• Divergent Ramanujan-type supercongruences (2010) — 73 citations
• From L-series of elliptic curves to Mahler measures (2010) — 72 citations
• Ramanujan-type supercongruences (2008) — 199 citations
• Ramanujan-type formulae for 1/π: a second wind? (2006) — 66 citations
• Tables of Calabi-Yau equations (2005) — 113 citations
• Algebraic relations for multiple zeta values (2003) — 145 citations
• Diophantine properties of numbers related to Catalan's constant (2003) — 60 citations
• Arithmetic of linear forms involving odd zeta values (2002) — 114 citations
• Irrationality of values of the Riemann zeta function (2001) — 67 citations