Petersson scalar products and L-functions arising from modular forms
Number Theory
2018-06-12 v1
Abstract
Analytic continuation and functional equation of a Dirichlet series constructed from two (not necessarily cuspidal) holomorphic modular forms is discussed, where either weights of the modular forms or characters are not necessarily equal to each other. The applications to quadratic forms are also given.
Keywords
Cite
@article{arxiv.1806.03642,
title = {Petersson scalar products and L-functions arising from modular forms},
author = {Shigeaki Tsuyumine},
journal= {arXiv preprint arXiv:1806.03642},
year = {2018}
}
Comments
41 pages, 2 figures