Congruences of Siegel Eisenstein series of degree two

TL;DR

This paper investigates the relationships and congruences between Siegel Eisenstein series and cusp forms of degree two, contributing to the understanding of their arithmetic properties.

Contribution

It provides new results on congruences between Siegel Eisenstein series and cusp forms of degree two, advancing the theory of automorphic forms.

Findings

Established new congruence relations between Eisenstein series and cusp forms.

Enhanced understanding of the arithmetic structure of Siegel modular forms.

Contributed to the theory of automorphic forms for Sp_4(Z).

Abstract

In this paper we study congruences between Siegel Eisenstein series and Siegel cusp forms for Sp_4(Z).