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Parity results of PEND partition

Number Theory 2024-07-16 v1

Abstract

In this paper, we consider the set of partitions pend(n)pend(n) which enumerates the number of partitions of nn wherein the even parts are not allowed to be distinct. Using a result of Newman, we prove a few infinite families of congruences modulo 2 for pend(n)pend(n).

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Cite

@article{arxiv.2407.10428,
  title  = {Parity results of PEND partition},
  author = {Hemjyoti Nath},
  journal= {arXiv preprint arXiv:2407.10428},
  year   = {2024}
}

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6 pages