Modulo 2 congruences for partitions with initial repetitions

2022/12/24 by Nyirenda, Darlison, Mugwangwavari, Beaullah
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2212.12705

Abstract

Motivated by Andrews' partitions with initial repetitions, we derive parity formulas for several functions for this class of partitions. In many cases, we present an infinite family of Ramanujan-like congruences modulo 2.

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