Parity results for the reciprocals of false theta functions
Number Theory
2025-12-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2512.02324,
title = {Parity results for the reciprocals of false theta functions},
author = {Jing Jin and Huan Xu and Olivia X. M. Yao},
journal= {arXiv preprint arXiv:2512.02324},
year = {2025}
}