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arXiv · 2409.02023

A Note on the Number of Representations of $n$ as a Sum of Generalized Polygonal Numbers

Subhajit Bandyopadhyay·Nayandeep Deka Baruah
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Abstract

Recently, Jha (arXiv:2007.04243, arXiv:2011.11038) has found identities that connect certain sums over the divisors of $n$ to the number of representations of $n$ as a sum of squares and triangular numbers. In this note, we state a generalized result that gives such relations for $s$-gonal numbers for any integer $s\geq3$.

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Subhajit Bandyopadhyay, Nayandeep Deka Baruah. 2024-09-03. A Note on the Number of Representations of $n$ as a Sum of Generalized Polygonal Numbers. https://arxiv.org/abs/2409.02023

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