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Arithmetic of 2-regular partitions with distinct odd parts

Number Theory 2024-08-27 v1

Abstract

Let pod2(n)pod_2(n) denote the number of 22-regular partitions of nn with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for pod2(n)pod_2(n) mod 22 and mod 88 using some generating function manipulations and the theory of Hecke eigenform.

Cite

@article{arxiv.2408.13879,
  title  = {Arithmetic of 2-regular partitions with distinct odd parts},
  author = {Hemjyoti Nath},
  journal= {arXiv preprint arXiv:2408.13879},
  year   = {2024}
}

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8 pages