Some Properties of Overpartitions into Nonmultiples of Two Integers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909441161428992 |
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| author | Alanazi, Abdulaziz M. Munagi, Augustine O. Saikia, Manjil P. |
| author_facet | Alanazi, Abdulaziz M. Munagi, Augustine O. Saikia, Manjil P. |
| contents | We consider properties of overpartitions that are simultaneously {\ell}-regular and μ-regular, where {\ell} and μ are positive relatively prime integers. We prove a seven-way combinatorial identity related to these overpartitions. We also prove several congruence properties satisfied by this class of partitions (and a further related class) using both generating functions and modular forms with Radu's Algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some Properties of Overpartitions into Nonmultiples of Two Integers Alanazi, Abdulaziz M. Munagi, Augustine O. Saikia, Manjil P. Number Theory Combinatorics We consider properties of overpartitions that are simultaneously {\ell}-regular and μ-regular, where {\ell} and μ are positive relatively prime integers. We prove a seven-way combinatorial identity related to these overpartitions. We also prove several congruence properties satisfied by this class of partitions (and a further related class) using both generating functions and modular forms with Radu's Algorithm. |
| title | Some Properties of Overpartitions into Nonmultiples of Two Integers |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2412.18938 |