Extending Recent Congruence Results on $t$-Schur overpartitions

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 \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \]

Publication Details

Journal
ArXiv.org
Published
2025-08-22
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

Extending Recent Congruence Results on $t$-Schur overpartitions

ArXiv.org
Geochemistry and Geologic Mapping
article

Extending Recent Congruence Results on $t$-Schur overpartitions

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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 \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \]

ArXiv.org
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Geochemistry and Geologic Mapping
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Extending Recent Congruence Results on $t$-Schur overpartitions · ArXiv.org (2025) | TGRS Research Map | TGRS