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arXiv · 2508.16346

Extending Recent Congruence Results on $t$-Schur overpartitions

K. C. Ajeyakashi·H. S. Sumanth Bharadwaj·S. Chandankumar
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Abstract

Recently, Nadji and Ahmia~\cite{nadji2021} introduced the notion of $t$-Schur overpartitions and investigated their combinatorial and arithmetic properties. In this paper, we extend their work and establish several new congruence relations for $t$-Schur overpartitions. For example, for all $n \ge 0$ we prove \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \]

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K. C. Ajeyakashi, H. S. Sumanth Bharadwaj, S. Chandankumar. 2025-08-22. Extending Recent Congruence Results on $t$-Schur overpartitions. https://arxiv.org/abs/2508.16346

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