Supercongruences satisfied by coefficients of 2F1 hypergeometric series
|Title:||Supercongruences satisfied by coefficients of 2F1 hypergeometric series||Authors:||Chan, Heng Huat
|Permanent link:||http://hdl.handle.net/10197/7871||Date:||2010||Abstract:||Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hypergeometric series which also arise from power series expansions of modular forms in terms of modular functions. We prove these two congruences using combinatorial properties of the coefficients.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Association Mathematique du Quebec||Keywords:||Special sequences; Polynomials; Congruences; Primitive roots; Residue systems||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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