Conductors of twisted Weil--Deligne representations
Number Theory
2023-10-19 v2
Abstract
We study the behaviour of conductors of L-functions associated to certain Weil--Deligne representations under twisting. For each global field K we prove a sharp upper bound for the conductor of the Rankin--Selberg L-function associated to a pair of abelian varieties.
Keywords
Cite
@article{arxiv.2309.02782,
title = {Conductors of twisted Weil--Deligne representations},
author = {Matthew Bisatt and Ross Paterson},
journal= {arXiv preprint arXiv:2309.02782},
year = {2023}
}
Comments
Major restructuring: strengthened main result on Rankin--Selberg L-functions and removed results on character twists. Comments welcome!