PreprintCC BY 4.0arXiv
Local Weak Maass Forms and Traces of Cycle Integrals
Abstract
Using relations established by Bringmann and Kane in a recent preprint based on the function ωk+1,D studied by Mono, Rolen, and the second author, we introduce two further functions naturally associated with a construction by Bringmann and Mono. We exploit results by Löbrich--Schwagenscheidt, Mono, and the second author on representations of these functions as traces of cycles integrals in order to provide more identities of the same kind.
Related
- Modular Forms Related to Real Quadratic Fields as Traces of Cycle Integrals
- Quantitative nodal domain count for Maass forms
- Quantum Variance for Hecke--Maass Cusp Forms on the Vertical Geodesic
- Quasi-modularity of q-traces and integrals over Hilbert schemes
- Petersson-rigid lattices of signature (2,1) and their harmonic weak Maass forms
BibTeX
@misc{rausch2026local,
title = {{Local Weak Maass Forms and Traces of Cycle Integrals}},
author = {Kilian Rausch and Johann Stumpenhusen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30575},
eprint = {2609.30575},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30575},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Local Weak Maass Forms and Traces of Cycle Integrals
AU - Kilian Rausch
AU - Johann Stumpenhusen
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30575
UR - https://arxiv.org/abs/2609.30575
AB - Using relations established by Bringmann and Kane in a recent preprint based on the function ω_k+1,D studied by Mono, Rolen, and the second author, we introduce two further functions naturally associated with a construction by Bringmann and Mono. We exploit results by Löbrich--Schwagenscheidt, Mono, and the second author on representations of these functions as traces of cycles integrals in order to provide more identities of the same kind.
ER -