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Supercongruences for Apéry-like numbers

Author(s)
Osburn, Robert  
Sahu, Brundaban  
Uri
http://hdl.handle.net/10197/7813
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
Subjects

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/
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os.pdf

Size

155.26 KB

Format

Adobe PDF

Checksum (MD5)

53540d7e20ea930f738b6944429fdadf

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
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