A note on Gekeler's h-function
Number Theory
2016-05-10 v1
Abstract
We give a brief introduction to Drinfeld modular forms, concentrating on the many equivalent constructions of the form h of weight q+1 and type 1, to which we contribute some new characterizations involving Moore determinants, and an application to the Weil pairing on Drinfeld modules. We also define Drinfeld modular functions of non-zero type and provide a moduli interpretation of these.
Cite
@article{arxiv.1605.02567,
title = {A note on Gekeler's h-function},
author = {Florian Breuer},
journal= {arXiv preprint arXiv:1605.02567},
year = {2016}
}
Comments
8 pages; submitted to special issue of Arch. Math. in honor of Ernst-Ulrich Gekeler