Parity results for the reciprocals of false theta functions
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912742613450752 |
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| author | Jin, Jing Xu, Huan Yao, Olivia X. M. |
| author_facet | Jin, Jing Xu, Huan Yao, Olivia X. M. |
| contents | Recently, Keith investigated arithmetic properties for the reciprocals of some false theta functions and posed several conjectures. In this paper, we prove some parity results
for the reciprocals of some false theta functions by using some identities on Ramanujan's general theta function. In particular, our results imply some conjectures of Keith. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parity results for the reciprocals of false theta functions Jin, Jing Xu, Huan Yao, Olivia X. M. Number Theory Recently, Keith investigated arithmetic properties for the reciprocals of some false theta functions and posed several conjectures. In this paper, we prove some parity results for the reciprocals of some false theta functions by using some identities on Ramanujan's general theta function. In particular, our results imply some conjectures of Keith. |
| title | Parity results for the reciprocals of false theta functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.02324 |