Supercongruences for Apery-like numbers
Number Theory
2021-02-03 v3 Combinatorics
Abstract
It is known that the numbers which occur in Apery's proof of the irrationality of zeta(2) have many interesting congruence properties while the associated generating function satisfies a second order differential equation. We prove supercongruences for a generalization of numbers which arise in Beukers' and Zagier's study of integral solutions of Apery-like differential equations.
Cite
@article{arxiv.0906.3413,
title = {Supercongruences for Apery-like numbers},
author = {Robert Osburn and Brundaban Sahu},
journal= {arXiv preprint arXiv:0906.3413},
year = {2021}
}
Comments
8 pages, revised version, to appear in Adv. in Appl. Math