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Supercongruences for Apéry-like numbers
Author(s)
Date Issued
2011-09
Date Available
2016-08-22T11:25:09Z
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.
Sponsorship
Science Foundation Ireland
Type of Material
Journal Article
Publisher
Elsevier
Journal
Advances in Applied Mathematics
Volume
47
Issue
3
Start Page
631
End Page
638
Copyright (Published Version)
2011 Elsevier
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
File(s)
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Name
os.pdf
Size
155.26 KB
Format
Adobe PDF
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