A converse theorem without root numbers
Number Theory
2019-05-22 v2
Abstract
We answer a challenge posed in (Math. Ann. 363 (2015), no. 1-2, 423-454) by proving a version of Weil's converse theorem that assumes a functional equation for character twists but allows their root numbers to vary arbitrarily.
Keywords
Cite
@article{arxiv.1703.01834,
title = {A converse theorem without root numbers},
author = {Andrew R. Booker},
journal= {arXiv preprint arXiv:1703.01834},
year = {2019}
}
Comments
10 pages, to appear in Mathematika