Modulo 2 congruences for partitions with initial repetitions

Darlison Nyirenda; Beaullah Mugwangwavari

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arXiv · 2212.12705

Modulo 2 congruences for partitions with initial repetitions

Darlison Nyirenda·Beaullah Mugwangwavari

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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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Darlison Nyirenda, Beaullah Mugwangwavari. 2022-12-24. Modulo 2 congruences for partitions with initial repetitions. https://arxiv.org/abs/2212.12705

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