Arithmetic properties of partition functions introduced by Pushpa and Vasuki
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908530714345472 |
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| author | Nath, Hemjyoti Saikia, Manjil P. |
| author_facet | Nath, Hemjyoti Saikia, Manjil P. |
| contents | In this short note, we prove several infinite family of congruences for some restricted partitions introduced by Pushpa and Vasuki (2022) (thereby, also proving a conjecture of Dasappa et. al. (2023)). We also prove some isolated congruences which seem to have been missed by earlier authors. Our proof techniques uses both elementary means as well as the theory of modular forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08801 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic properties of partition functions introduced by Pushpa and Vasuki Nath, Hemjyoti Saikia, Manjil P. Number Theory Combinatorics 11P81, 11P83, 05A17 In this short note, we prove several infinite family of congruences for some restricted partitions introduced by Pushpa and Vasuki (2022) (thereby, also proving a conjecture of Dasappa et. al. (2023)). We also prove some isolated congruences which seem to have been missed by earlier authors. Our proof techniques uses both elementary means as well as the theory of modular forms. |
| title | Arithmetic properties of partition functions introduced by Pushpa and Vasuki |
| topic | Number Theory Combinatorics 11P81, 11P83, 05A17 |
| url | https://arxiv.org/abs/2509.08801 |