A partition identity connected to the second rank moment
Alexander E Patkowski
TL;DR
This paper explores a partition identity linked to the second Atkin-Garvan moment, revealing inequalities and relationships between divisor counts and partition numbers.
Contribution
It introduces new partition implications of a specific q-series connected to the second Atkin-Garvan moment, expanding understanding of divisor and partition relationships.
Findings
Derived inequalities relating divisors and partitions.
Established new partition implications of the q-series.
Connected partition identities to the second Atkin-Garvan moment.
Abstract
The purpose of this note is to offer some partition implications of a -series that is connected to the second Atkin-Garvan moment. Inequalities and relationships among the number of divisors and partitions are provided as consequences.
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