Supercongruences for Apéry-like numbers

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Title: Supercongruences for Apéry-like numbers
Authors: Osburn, Robert
Sahu, Brundaban
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Date: Sep-2011
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.
Funding Details: 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
Keywords: Apery-like numbersSupercongruencesModular-formsCongruencesEquations
DOI: 10.1016/j.aam.2011.03.002
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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