Journal of Integer Sequences, Vol. 19 (2016), Article 16.8.1

On a Ramanujan-type Congruence for Bipartitions with 5-Cores


Ranganatha Dasappa
Department of Studies in Mathematics
University of Mysore, Manasagangotri
Mysuru-570006
Karnataka
India

Abstract:

In this short note, we prove a Ramanujan-type congruence modulo 5α (α ≥ 1) for A5(n), which counts the number of 5-core bipartitions of n.

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Received September 5 2016; revised versions received September 15 2016; September 16 2016; September 19 2016. Published in Journal of Integer Sequences, October 1 2016.

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