Some further q-series identities related to divisor functions

Details Some further q-series identities related to divisor functions Some further q-series identities related to divisor functions

2011-04-05

arxiv.org/abs/1104.0823v1

Ramanujan J. 25 (2011), 295-306

Mathematics

Combinatorics

10 pages, to appear in Ramanujan J

Scientific paper

10.1007/s11139-011-9308-z

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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