Massive deformations of Maass forms and Jacobi forms

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2019-10-07 DOI:10.4310/CNTP.2021.v15.n3.a4

M. Berg, K. Bringmann, T. Gannon

引用次数: 15

Abstract

We define one-parameter "massive" deformations of Maass forms and Jacobi forms. This is inspired by descriptions of plane gravitational waves in string theory. Examples include massive Green's functions (that we write in terms of Kronecker-Eisenstein series) and massive modular graph functions.

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Maas形式和Jacobi形式的大变形

我们定义了Maas形式和Jacobi形式的单参数“大规模”变形。这是受到弦论中对平面引力波描述的启发。例子包括大规模格林函数（我们用克罗内克-艾森斯坦级数来写）和大规模模图函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.