A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts

Mircea Merca, Chun Wang, Ae Ja Yee

Research output: Contribution to journalArticlepeer-review

Abstract

We examine two truncated series derived from a classical theta identity of Gauss. As a consequence, we obtain two infinite families of inequalities for the overpartition function po¯ (n) counting the number of overpartitions into odd parts. We provide partition-theoretic interpretations of these results.

Original languageEnglish (US)
Pages (from-to)907-915
Number of pages9
JournalAnnals of Combinatorics
Volume23
Issue number3-4
DOIs
StatePublished - Nov 1 2019

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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