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Arithmetic of 2-regular partitions with distinct odd parts (2408.13879v1)
Published 25 Aug 2024 in math.NT
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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