An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give a new proof of a theorem of Zudilin that equates a very-well-poised hypergeometric series and a particular multiple integral. This integral generalizes integrals of Vasilenko and Vasilyev which were proposed as tools in the study of the arithmetic behaviour of values of the Riemann zeta function at integers. Our proof is based on limiting cases of a basic hypergeometric identity of Andrews.
14 pages; AmS-LaTeX; several corrections, and a reference added

Keywords

Classical Analysis and ODEs, Number Theory, Primary 33C20; Secondary 11J72

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/123771

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312148
 http://arxiv.org/abs/math/0312148
 Ramanujan J. 13 (2007), 203-219.

Collections

arXiv