Modular Forms on the Double Half-Plane
Number Theory
2020-04-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We formulate a notion of modular form on the double half-plane for half-integral weights and explain its relationship to the usual notion of modular form. The construction we provide is compatible with certain physical considerations due to the second author.
Keywords
Cite
@article{arxiv.1806.09875,
title = {Modular Forms on the Double Half-Plane},
author = {John F. R. Duncan and David A. McGady},
journal= {arXiv preprint arXiv:1806.09875},
year = {2020}
}
Comments
17 pages: Minor corrections in text (due to a helpful referee), updated affiliations. Accepted for publication in the International Journal for Number Theory (IJNT)