Supercongruences satisfied by coefficients of 2F1 hypergeometric series

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Title: Supercongruences satisfied by coefficients of 2F1 hypergeometric series
Authors: Chan, Heng Huat
Kontogeorgis, Aristides
Krattenthaler, Christian
Osburn, Robert
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 sequencesPolynomialsCongruencesPrimitive rootsResidue systems
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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