Separable Integer Partition Classes
George E. Andrews

TL;DR
This paper develops a classical partition generating function method into a versatile tool, deriving new expansions of known theorems and presenting novel results for partitions with n copies of n.
Contribution
It introduces a generalized approach to partition generating functions, expanding their applicability and providing new insights into specific partition classes.
Findings
New expansions of classical partition theorems
Results for partitions with n copies of n
Enhanced methods for partition analysis
Abstract
A classical method for partition generating functions is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with n copies of n are presented.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research
