Elementary proof of congruences modulo 25 for broken k-diamond partitions

2018/07/05 by Chern, Shane, Tang, Dazhao
#05A17 #11P83 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.01890

Abstract

Let Δ_k(n) denote the number of k-broken diamond partitions of n. Quite recently, the second author proved an infinite family of congruences modulo 25 for Δ_k(n) with the help of modular forms. In this paper, we aim to provide an elementary proof of this result.

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