# A character of Siegel modular group of level 2 from theta constants

## TL;DR

This paper introduces a new character of the Siegel modular group of level 2 derived from theta constants, providing computational methods and recovering key theorems of Igusa.

## Contribution

It defines a novel character of the Siegel modular group of level 2 and offers computational techniques to evaluate it, enhancing understanding of modular forms.

## Key findings

- Defined a character of the Siegel modular group of level 2
- Computed values of the character
- Reproduced key theorems of Igusa

## Abstract

Given a characteristic, we define a character of the Siegel modular group of level 2, the computations of their values are also obtained. By using our theorems, some key theorems of Igusa [1] can be recovered.