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A supercongruence for generalized Domb numbers
Author(s)
Date Issued
2013
Date Available
2016-08-22T11:20:20Z
Abstract
Using techniques due to Coster, we prove a supercongruence for a generalization of the Domb numbers. This extends a recent result of Chan, Cooper and Sica and confirms a conjectural supercongruence for numbers which are coefficients in one of Zagier's seven 'sporadic' solutions to second order Apery-like differential equations.
Sponsorship
Science Foundation Ireland
Type of Material
Journal Article
Publisher
Faculty of Mathematics and Computer Science, Adam Mickiewicz University
Journal
Functiones et Approximatio, Commentarii Mathematici
Volume
48
Issue
1
Start Page
29
End Page
36
Web versions
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
File(s)
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Name
superdomb2.pdf
Size
156.4 KB
Format
Adobe PDF
Checksum (MD5)
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