Some further q-series identities related to divisor functions

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.

10 pages, to appear in Ramanujan J

Cited by in corpus (3)

• Basic and bibasic identities related to divisor functions
• Partition implications of a new three parameter $q$-series identity
• Some congruences related to the q-Fermat quotients