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Ramanujan-type supercongruences

- W. Zudilin
- Mathematics
- 19 May 2008

Abstract We present several supercongruences that may be viewed as p-adic analogues of Ramanujan-type series for 1 / π and 1 / π 2 , and prove three of these examples.

A q-microscope for supercongruences

- Victor J. W. Guo, W. Zudilin
- Mathematics
- 5 March 2018

Abstract By examining asymptotic behavior of certain infinite basic (q-) hypergeometric sums at roots of unity (that is, at a ‘q-microscopic’ level) we prove polynomial congruences for their… Expand

ZETA STARS

We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ({2}n , 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2, 2, . . . , 2), while… Expand

Tables of Calabi-Yau equations

- G. Almkvist, Christian van Enckevort, D. Straten, W. Zudilin
- Mathematics
- 21 July 2005

The main part of this paper is a big table (see Appendix A) containing what we believe to be a complete list of all fourth order equations of Calabi–Yau type known so far. In the text preceding the… Expand

From L-series of elliptic curves to Mahler measures

- Mathew Rogers, W. Zudilin
- Mathematics
- Compositio Mathematica
- 14 December 2010

Abstract We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions for L-values of elliptic… Expand

Cyclic q-MZSV sum☆

- Yasuo Ohno, J. Okuda, W. Zudilin
- Mathematics
- 2012

Abstract We present a family of identities ‘cyclic sum formula’ and ‘sum formula’ for a version of multiple q -zeta star values. We also discuss a problem of q -generalization of shuffle products.

Differential equations, mirror maps and zeta values

- G. Almkvist, W. Zudilin
- Mathematics, Physics
- 24 February 2004

The aim of this work is an analytic investigation of differential equations producing mirror maps as well as giving new examples of mirror maps; one of these examples is related to (rational… Expand

Generating functions of Legendre polynomials: A tribute to Fred Brafman

- J. Wan, W. Zudilin
- Computer Science, Mathematics
- J. Approx. Theory
- 1 April 2012

TLDR

Divergent Ramanujan-type supercongruences

- Jesús Guillera, W. Zudilin
- Mathematics
- 25 April 2010

"Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases. In this paper we manage to… Expand

Regulator of modular units and Mahler measures

- W. Zudilin
- Mathematics
- Mathematical Proceedings of the Cambridge…
- 14 April 2013

Abstract We present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the L-series of a modular form of weight 2 at… Expand

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