The asymptotic profile of an eta-theta quotient related to entanglement entropy in string theory

TL;DR

This paper analyzes the asymptotic behavior of a specific eta-theta quotient related to entanglement entropy in string theory using Wright's circle method.

Contribution

It provides the first detailed asymptotic profile of the eta-theta quotient associated with entanglement entropy in string theory.

Findings

Derived the bivariate asymptotic profile of the eta-theta quotient.

Applied Wright's circle method to a new context in string theory.

Enhanced understanding of the mathematical structure underlying entanglement entropy.

Abstract

In this paper we investigate a certain eta-theta quotient which appears in the partition function of entanglement entropy. Employing Wright's circle method, we give its bivariate asymptotic profile.