# A duality formula between elliptic determinants

## TL;DR

This paper establishes a duality formula connecting two elliptic determinants, using a variant of the Izergin-Korepin method originally designed for analyzing partition functions in integrable lattice models.

## Contribution

It introduces a novel duality formula between elliptic determinants and adapts the Izergin-Korepin method for this purpose.

## Key findings

- Proves a duality formula between elliptic determinants
- Develops a variant of the Izergin-Korepin method for elliptic determinants
- Provides a new analytical tool for elliptic determinant analysis

## Abstract

We prove a duality formula between two elliptic determinants. We present a proof which is a variant of the Izergin-Korepin method which is a method originally introduced to analyze and compute partition functions of integrable lattice models.