A supercongruence for generalized Domb numbers
|Title:||A supercongruence for generalized Domb numbers||Authors:||Osburn, Robert
|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 numbers; Supercongruences; Primitive roots; Residue systems||DOI:||10.7169/facm/2013.48.1.3||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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