Arithmetic properties of $t$-Schur overpartitions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908501925691392 |
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| author | Nadji, Mohammed L. Saikia, Manjil P. Sellers, James A. |
| author_facet | Nadji, Mohammed L. Saikia, Manjil P. Sellers, James A. |
| contents | In a recent work, Nadji and Ahmia introduced the $t$-Schur overpartitions as an overpartition analogue for $t$-Schur partitions, which generalizes the classical Schur's partitions into parts congruent to $1$ or $5$ modulo $6$. We continue the study of this new class of overpartitions and prove several arithmetic results for the cases $t=3,9$ and $t$ being a power of $2$ or a power of $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17928 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic properties of $t$-Schur overpartitions Nadji, Mohammed L. Saikia, Manjil P. Sellers, James A. Combinatorics 11P83, 05A15, 05A17 F.2.2 In a recent work, Nadji and Ahmia introduced the $t$-Schur overpartitions as an overpartition analogue for $t$-Schur partitions, which generalizes the classical Schur's partitions into parts congruent to $1$ or $5$ modulo $6$. We continue the study of this new class of overpartitions and prove several arithmetic results for the cases $t=3,9$ and $t$ being a power of $2$ or a power of $3$. |
| title | Arithmetic properties of $t$-Schur overpartitions |
| topic | Combinatorics 11P83, 05A15, 05A17 F.2.2 |
| url | https://arxiv.org/abs/2508.17928 |