This material has been published in
Sci. Math. Québec 34 (2010), 25-36,
the only definitive repository of the content that has been
certified and accepted after peer review.
Supercongruences satisfied by coefficients of
2F1 hypergeometric series
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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