A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts

Mircea Merca, Chun Wang, Ae Ja Yee

Research output: Contribution to journalArticle

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)
JournalAnnals of Combinatorics
DOIs
StateAccepted/In press - Jan 1 2019

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Derived Series
Gauss
Counting
Odd
Partition
Interpretation
Family

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Cite this

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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.",
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A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts. / Merca, Mircea; Wang, Chun; Yee, Ae Ja.

In: Annals of Combinatorics, 01.01.2019.

Research output: Contribution to journalArticle

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