English

Massive deformations of Maass forms and Jacobi forms

Number Theory 2022-01-19 v2 High Energy Physics - Theory

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.

Cite

@article{arxiv.1910.02745,
  title  = {Massive deformations of Maass forms and Jacobi forms},
  author = {Marcus Berg and Kathrin Bringmann and Terry Gannon},
  journal= {arXiv preprint arXiv:1910.02745},
  year   = {2022}
}

Comments

16+3 pages, published version

R2 v1 2026-06-23T11:36:16.771Z