A Polynomial Variation on Meinardus' Theorem

TL;DR

This paper introduces a polynomial analogue of Meinardus' theorem for bivariate Euler products, advancing the understanding of complex multiplicatively weighted partitions.

Contribution

It develops a novel polynomial version of Meinardus' theorem specifically for bivariate Euler products, with applications to weighted partitions.

Findings

Established a polynomial analogue of Meinardus' theorem

Applied the theorem to complex multiplicatively weighted partitions

Enhanced analytical tools for partition theory

Abstract

We develop a polynomial analogue of Meinardus' Thoerem for bivariate Euler products and apply it to the study of complex multiplicatively weighted partitions.