Asymptotics of partition parts in arithmetic progressions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912604963733504 |
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| author | Bringmann, Kathrin Nazaroglu, Caner van Ittersum, Jan-Willem M. |
| author_facet | Bringmann, Kathrin Nazaroglu, Caner van Ittersum, Jan-Willem M. |
| contents | We study the distribution of partition parts in arithmetic progressions and find asymptotic results that capture all exponentially growing terms. This is accomplished by studying the behavior of non-modular Eisenstein series that appear in their generating function and have expressions in terms of indefinite and false-indefinite theta functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics of partition parts in arithmetic progressions Bringmann, Kathrin Nazaroglu, Caner van Ittersum, Jan-Willem M. Number Theory Combinatorics 11E45, 11F30 We study the distribution of partition parts in arithmetic progressions and find asymptotic results that capture all exponentially growing terms. This is accomplished by studying the behavior of non-modular Eisenstein series that appear in their generating function and have expressions in terms of indefinite and false-indefinite theta functions. |
| title | Asymptotics of partition parts in arithmetic progressions |
| topic | Number Theory Combinatorics 11E45, 11F30 |
| url | https://arxiv.org/abs/2509.21202 |