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arXiv · 2212.10756

Legendre theorems for a class of partitions with initial repetitions

Darlison Nyirenda·Beaullah Mugwangwavari
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Abstract

Partitions with initial repetitions were introduced by George Andrews. We consider a subclass of these partitions and find Legendre theorems associated with their respective partition functions. The results in turn provide partition theoretic interpretations of some Rogers-Ramanujan identities due to Lucy J. Slater.

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Darlison Nyirenda, Beaullah Mugwangwavari. 2024-06-17. Legendre theorems for a class of partitions with initial repetitions. https://arxiv.org/abs/2212.10756

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