$GL_2$-real analytic Eisenstein series twisted by parameter matrices and multiplicative integral quasi-characters

TL;DR

This paper provides an in-depth analysis of a special class of $GL_2$-real analytic Eisenstein series, exploring their properties and potential applications in number theory.

Contribution

It introduces a new class of Eisenstein series twisted by parameter matrices and multiplicative integral quasi-characters, expanding the understanding of their structure and behavior.

Findings

Detailed characterization of the twisted Eisenstein series

Identification of their functional equations and symmetries

Potential implications for automorphic forms and number theory

Abstract

In this monograph, we study in detail a special class of $GL_2$-real analytic Eisenstein series.