Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913476146888704 |
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| author | Saikia, Manjil P. Sarma, Abhishek Sellers, James A. |
| author_facet | Saikia, Manjil P. Sarma, Abhishek Sellers, James A. |
| contents | Recently, Drema and Saikia (2023) proved several congruences modulo powers of 2 and 3 for overpartition triples with odd parts. We extend their list substantially. We prove several congruences modulo powers of 2 for overpartition k-tuples with odd parts, along with a few infinite families of congruences for overpartition triples with odd parts and for overpartition k-tuples with odd parts (for k = 4 and for odd k). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12011 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts Saikia, Manjil P. Sarma, Abhishek Sellers, James A. Number Theory 11P81, 11P83 Recently, Drema and Saikia (2023) proved several congruences modulo powers of 2 and 3 for overpartition triples with odd parts. We extend their list substantially. We prove several congruences modulo powers of 2 for overpartition k-tuples with odd parts, along with a few infinite families of congruences for overpartition triples with odd parts and for overpartition k-tuples with odd parts (for k = 4 and for odd k). |
| title | Arithmetic properties modulo powers of $2$ for overpartition $k$-tuples with odd parts |
| topic | Number Theory 11P81, 11P83 |
| url | https://arxiv.org/abs/2312.12011 |