Partition-theoretic interpretation for certain truncated series
D.S. Gireesh, B. Hemanthkumar
TL;DR
This paper offers partition-theoretic interpretations for new truncated pentagonal number theorems and Gauss identities, along with deriving inequalities for certain partition functions.
Contribution
It introduces novel partition-theoretic insights for specific truncated series and establishes related inequalities, expanding understanding of partition identities.
Findings
Partition-theoretic interpretations for new truncated pentagonal number theorem.
Partition-theoretic interpretations for identities of Gauss.
Derived inequalities for certain partition functions.
Abstract
In this article, we provide partition-theoretic interpretations for some new truncated pentagonal number theorem and identities of Gauss. Also, we deduce few inequalities for some partition functions.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical Inequalities and Applications