"Divergent" Ramanujan-type supercongruences
Number Theory
2015-03-14 v4 Classical Analysis and ODEs
Abstract
"Divergent" Ramanujan-type series for and 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 prove three of the supercongruences by means of the Wilf--Zeilberger algorithmic technique.
Keywords
Cite
@article{arxiv.1004.4337,
title = {"Divergent" Ramanujan-type supercongruences},
author = {Jesús Guillera and Wadim Zudilin},
journal= {arXiv preprint arXiv:1004.4337},
year = {2015}
}
Comments
14 pages