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Bibliographic Details
Main Authors: Jin, Jing, Xu, Huan, Yao, Olivia X. M.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.02324
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Table of 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.