Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909031532068864 |
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| author | Banerjee, Koustav Bringmann, Kathrin |
| author_facet | Banerjee, Koustav Bringmann, Kathrin |
| contents | In this paper, we prove a conjecture of Andrews and Bachraoui relating a generating function arising from two-color partitions (with odd smallest part and restrictions on the even parts) to a Hecke-type double sum. Our proof is based on Zwegers' theory of indefinite theta functions together with modular transformation properties of mock theta functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10300 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Proof of a conjecture of Andrews and Bachraoui on a Hecke sum Banerjee, Koustav Bringmann, Kathrin Number Theory Combinatorics 11F11, 11F20, 11F37, 11P81 In this paper, we prove a conjecture of Andrews and Bachraoui relating a generating function arising from two-color partitions (with odd smallest part and restrictions on the even parts) to a Hecke-type double sum. Our proof is based on Zwegers' theory of indefinite theta functions together with modular transformation properties of mock theta functions. |
| title | Proof of a conjecture of Andrews and Bachraoui on a Hecke sum |
| topic | Number Theory Combinatorics 11F11, 11F20, 11F37, 11P81 |
| url | https://arxiv.org/abs/2605.10300 |