Arithmetic of 2-regular partitions with distinct odd parts

Hemjyoti Nath

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arXiv · 2408.13879

Arithmetic of 2-regular partitions with distinct odd parts

Hemjyoti Nath

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Abstract

Let $pod_2(n)$ denote the number of $2$-regular partitions of $n$ with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for $pod_2(n)$ mod $2$ and mod $8$ using some generating function manipulations and the theory of Hecke eigenform.

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Hemjyoti Nath. 2024-08-25. Arithmetic of 2-regular partitions with distinct odd parts. https://arxiv.org/abs/2408.13879

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