English

On Kleinian mock modular forms

Number Theory 2023-06-27 v1

Abstract

We give an explicit and computationally efficient construction of harmonic weak Maass forms which map to weight 22 newforms under the ξ\xi-operator. Our work uses a new non-analytic completion of the Kleinian ζ\zeta-function from the theory of Abelian functions.

Keywords

Cite

@article{arxiv.2306.14466,
  title  = {On Kleinian mock modular forms},
  author = {Claudia Alfes-Neumann and Michael Mertens},
  journal= {arXiv preprint arXiv:2306.14466},
  year   = {2023}
}
R2 v1 2026-06-28T11:14:11.971Z