Work

Conductors of twisted Weil–Deligne representations

Year: 2024

Type: article

Abstract: We study the behavior 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 [Formula: see text] where [Formula: see text] are abelian varieties.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500496

Authors: Matthew Bisatt, Ross Paterson

Institutions: University of Bristol, Heilbronn Institute for Mathematical Research

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404415345

FWCI:

Cites: 8

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Related to: 10