Some further q-series identities related to divisor functions
Victor J. W. Guo, Cai Zhang
TL;DR
This paper presents new generalizations of existing q-series identities connected to divisor functions, including special cases related to overpartitions, expanding the mathematical understanding of these identities.
Contribution
It introduces novel generalizations of Dilcher and Prodinger's q-series identities, with applications to overpartition identities.
Findings
New generalized q-series identities related to divisor functions
Special cases include identities connected to overpartitions
Enhanced understanding of divisor function identities
Abstract
We give new generalizations of some q-series identities of Dilcher and Prodinger related to divisor functions. Some interesting special cases are also deduced, including an identity related to overpartitions studied by Corteel and Lovejoy.
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