Reciprocals of false theta functions
Document Type
Article
Publication Date
9-1-2025
Abstract
We investigate reciprocals of false theta functions, producing results such as congruences, simple asymptotic bounds, and combinatorial identities. Of particular interest is a connection between 1/Ψ(-q2,q) and the truncated pentagonal number theorem of Andrews and Merca. We record a useful dissection identity analogous to the known theta function dissection.
Publication Title
Ramanujan Journal
Recommended Citation
Keith, W.
(2025).
Reciprocals of false theta functions.
Ramanujan Journal,
68(1).
http://doi.org/10.1007/s11139-025-01179-3
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/1934
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