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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.01532 |
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| _version_ | 1866908476946513920 |
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| author | Jin, Jing Wang, Sijia Yao, Olivia X. M. |
| author_facet | Jin, Jing Wang, Sijia Yao, Olivia X. M. |
| contents | Recently, Keith investigated reciprocals of false theta functions and proved some interesting results such as congruences, asymptotic bounds, and combinatorial identities. At the end of his paper, Keith posed a conjecture on congruences modulo 4 and 8 for the coefficients of the reciprocal of a false theta function. In this paper, we not only confirm Keith's conjecture, but also prove a generalized result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01532 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function Jin, Jing Wang, Sijia Yao, Olivia X. M. Number Theory Recently, Keith investigated reciprocals of false theta functions and proved some interesting results such as congruences, asymptotic bounds, and combinatorial identities. At the end of his paper, Keith posed a conjecture on congruences modulo 4 and 8 for the coefficients of the reciprocal of a false theta function. In this paper, we not only confirm Keith's conjecture, but also prove a generalized result. |
| title | Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.01532 |