Vector-valued higher depth quantum modular forms and higher Mordell integrals
Number Theory
2019-08-13 v2 Quantum Algebra
Representation Theory
Abstract
In this paper, we prove vector-valued higher depth quantum modular properties arising from characters of certain vertex algebras. We then find two-dimensional Mordell integral representations for their errors of modularity.
Cite
@article{arxiv.1803.06261,
title = {Vector-valued higher depth quantum modular forms and higher Mordell integrals},
author = {Kathrin Bringmann and Jonas Kaszian and Antun Milas},
journal= {arXiv preprint arXiv:1803.06261},
year = {2019}
}
Comments
21 pages, to appear in Journal of Mathematical Analysis and Applications