Supercongruences satisfied by coefficients of 2F1 hypergeometric series

Details Supercongruences satisfied by coefficients of 2F1 hypergeometric series Supercongruences satisfied by coefficients of 2F1 hypergeometric series

2009-12-03

arxiv.org/abs/0912.0620v1

Annales des sciences mathematiques du Quebec 34 (2010), 25-36

Mathematics

Number Theory

13 pages

Scientific paper

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.

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