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arXiv · 2403.16735

New congruences for partitions where the even parts are distinct

Hemjyoti Nath
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Abstract

We denote the number of partitions of $n$ wherein the even parts are distinct (and the odd parts are unrestricted) by $ped(n)$. In this paper, we will use generating function manipulations to obtain new congruences for $ped(n)$ modulo $24$.

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Hemjyoti Nath. 2024-03-25. New congruences for partitions where the even parts are distinct. https://doi.org/10.5281/zenodo.13768812

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