Degenerate Eisenstein Series for $Sp_4$

TL;DR

This paper provides a comprehensive analysis of the images and poles of degenerate Eisenstein series associated with maximal parabolic subgroups of the symplectic group Sp_4 over the adeles, advancing understanding in automorphic forms.

Contribution

It offers a complete description of the images and poles of degenerate Eisenstein series for Sp_4, filling gaps in the theory of automorphic forms on symplectic groups.

Findings

Detailed characterization of Eisenstein series images

Identification of pole locations and structures

Advancement in automorphic representation theory

Abstract

In this paper we obtain a complete description of images and poles of degenerate Eisenstein series attached to maximal parabolic subgroups of $Sp_4(\mathbb A)$, where $\mathbb A$ is the ring of adeles of $\mathbb Q$.