Symmetric square type $L$-series
Number Theory
2026-01-01 v2 Representation Theory
Abstract
We construct symmetric square type -series for vector-valued modular forms transforming under the Weil representation associated to a discriminant form. We study Hecke operators and integral representations to investigate their properties, deriving functional equations and infinite product expansions.
Cite
@article{arxiv.2504.00972,
title = {Symmetric square type $L$-series},
author = {Ingmar Metzler},
journal= {arXiv preprint arXiv:2504.00972},
year = {2026}
}
Comments
30 pages, minor corrections. To appear in Research in Number Theory