Extending Recent Congruence Results on $t$-Schur overpartitions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908499113410560 |
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| author | Ajeyakashi, K. C. Bharadwaj, H. S. Sumanth Chandankumar, S. |
| author_facet | Ajeyakashi, K. C. Bharadwaj, H. S. Sumanth Chandankumar, S. |
| contents | 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 \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \] |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_16346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending Recent Congruence Results on $t$-Schur overpartitions Ajeyakashi, K. C. Bharadwaj, H. S. Sumanth Chandankumar, S. Combinatorics Number Theory 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 \[ \overline{S_9}(24n+23)\equiv 0 \pmod{32}. \] |
| title | Extending Recent Congruence Results on $t$-Schur overpartitions |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2508.16346 |