Supercongruences satisfied by coefficients of 2F1 hypergeometric series
Number Theory
2010-09-03 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.0912.0620,
title = {Supercongruences satisfied by coefficients of 2F1 hypergeometric series},
author = {Heng Huat Chan and Aristides Kontogeorgis and Christian Krattenthaler and Robert Osburn},
journal= {arXiv preprint arXiv:0912.0620},
year = {2010}
}
Comments
13 pages