A Note on Maass-Jacobi Forms

TL;DR

This paper introduces Maass-Jacobi forms, a new class of automorphic forms, and explores their properties and characterizations, expanding the understanding of automorphic form theory.

Contribution

It defines Maass-Jacobi forms and investigates their properties, providing new insights into automorphic forms.

Findings

Introduction of Maass-Jacobi forms as a new automorphic class

Characterization methods for these forms

Initial properties and features identified

Abstract

In this paper, we introduce the notion of Maass-Jacobi forms and investigate some properties of these new automorphic forms. We also characterize these automorphic forms in several ways.