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arXiv · 2205.03697

Extensions and variations of Andrews-Merca identities

Darlison Nyirenda·Beaullah Mugwangwavari
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Abstract

Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result and consider many more variations of their work. We also highlight some connections with the work of Fu and Tang.

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Darlison Nyirenda, Beaullah Mugwangwavari. 2022-11-25. Extensions and variations of Andrews-Merca identities. https://arxiv.org/abs/2205.03697

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