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Extending Recent Congruence Results on $t$-Schur overpartitions

Year: 2025
Type: preprint
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 \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \]
Language: English
Open Access status: green
OpenAlex ID: W7077674287
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