Vector valued theta functions associated with binary quadratic forms
Number Theory
2015-06-03 v2
Abstract
We study the space of vector valued theta functions for the Weil representation of a positive definite even lattice of rank two with fundamental discriminant. We work out the relation of this space to the corresponding scalar valued theta functions of weight one and determine an orthogonal basis with respect to the Petersson inner product. Moreover, we give an explicit formula for the Petersson norms of the elements of this basis.
Cite
@article{arxiv.1505.02693,
title = {Vector valued theta functions associated with binary quadratic forms},
author = {Stephan Ehlen},
journal= {arXiv preprint arXiv:1505.02693},
year = {2015}
}
Comments
18 pages; corrected internal references