Parity of the Coefficients of Certain Eta-Quotients, III: Two Special Classes
Document Type
Article
Publication Date
6-11-2026
Department
Department of Mathematical Sciences
Abstract
We continue a series of papers studying the parity of families of eta-quotients, which provide implications for the parity of the partition function as well as an overarching conjecture on related q-series. The present article focuses on two classes. One consists of eta-quotients of the form f 3 t /f1, a distinguished case of Andrews’ singular overpartitions that has recently attracted attention among researchers. In addition, we investigate the parity of certain pure eta-powers ft 1, appending new results to known density theorems.
Publication Title
Annals of Combinatorics
Recommended Citation
Keith, W.,
&
Zanello, F.
(2026).
Parity of the Coefficients of Certain Eta-Quotients, III: Two Special Classes.
Annals of Combinatorics.
http://doi.org/10.1007/s00026-026-00833-x
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/2793