An explicit PSp_4(3)-polynomial with 3 parameters of degree 40, with an appendix

TL;DR

This paper constructs a specific degree 40 polynomial with three parameters related to the group PSp_4(3), utilizing Siegel modular forms, contributing to the explicit realization of complex algebraic structures.

Contribution

It provides the first explicit construction of a PSp_4(3)-polynomial with three parameters of degree 40 based on Siegel modular forms.

Findings

Explicit degree 40 polynomial with 3 parameters constructed.

Utilizes results from Siegel modular forms.

Advances understanding of PSp_4(3)-related polynomials.

Abstract

We construct an explicit PSp_4(3)-polynomial with 3 parameters of degree 40 by using some results of Siegel modular forms.