A supercongruence for generalized Domb numbers

Files in This Item:
File Description SizeFormat 
superdomb2.pdf156.4 kBAdobe PDFDownload
Title: A supercongruence for generalized Domb numbers
Authors: Osburn, Robert
Sahu, Brundaban
Permanent link: http://hdl.handle.net/10197/7811
Date: 2013
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.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: Faculty of Mathematics and Computer Science, Adam Mickiewicz University
Keywords: Domb numbersSupercongruencesPrimitive rootsResidue systems
DOI: 10.7169/facm/2013.48.1.3
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

Show full item record

Citations 50

Last Week
Last month
checked on Aug 9, 2018

Google ScholarTM



This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.