Exact formula for 1-lower run overpartitions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915223466672128 |
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| author | Mauth, Lukas |
| author_facet | Mauth, Lukas |
| contents | We are going to show an exact formula for lower $1$-run overpartitions. The generating function is of mixed mock-modular type with an overall weight $0.$ We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10441 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact formula for 1-lower run overpartitions Mauth, Lukas Number Theory Combinatorics We are going to show an exact formula for lower $1$-run overpartitions. The generating function is of mixed mock-modular type with an overall weight $0.$ We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals. |
| title | Exact formula for 1-lower run overpartitions |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2307.10441 |