Another Proof of a Conjecture by Hirschhorn and Sellers on Overpartitions
Department of Mathematics
National University of Singapore
We provide a new elementary proof for a Ramanujan-type congruence for
the overpartition function modulo 40, which was previously conjectured
by Hirschhorn and Sellers and later proved by Chen and Xia. We also
find some new congruences for the overpartition function modulo 5 and
Full version: pdf,
(Concerned with sequence
Received July 24 2014;
revised versions received August 25 2014; September 5 2014.
Published in Journal of Integer Sequences, September 7 2014.
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