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Supercongruences for Apéry-like numbers

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Author(s)
Osburn, Robert 
Sahu, Brundaban 
Uri
http://hdl.handle.net/10197/7813
Date Issued
September 2011
Date Available
22T11:25:09Z August 2016
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
Keywords
  • Apery-like numbers

  • Supercongruences

  • Modular-forms

  • Congruences

  • Equations

DOI
10.1016/j.aam.2011.03.002
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
Scopus© citations
11
Acquisition Date
Feb 4, 2023
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