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arXiv · 2409.02034

Arithmetic Identities for Some Analogs of $5$-core Partition Function

Subhajit Bandyopadhyay·Nayandeep Deka Baruah
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Abstract

Recently, Gireesh, Ray, and Shivashankar studied an analog, $\overline{a}_t(n)$, of the $t$-core partition function, $c_t(n)$. In this paper, we study the function $\overline{a}_5(n)$ in conjunction with $c_5(n)$ as well as another analogous function $\overline{b}_5(n)$. We also find several arithmetic identities for $\overline{a}_5(n)$ and $\overline{b}_5(n)$.

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Subhajit Bandyopadhyay, Nayandeep Deka Baruah. 2024-09-03. Arithmetic Identities for Some Analogs of $5$-core Partition Function. https://arxiv.org/abs/2409.02034

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