Conductors of twisted Weil–Deligne representations
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.
Authors
- Ross Paterson (ORCID: https://orcid.org/0000-0002-5430-6609)
- Matthew Bisatt (ORCID: https://orcid.org/0000-0001-5518-5012)
Institutions
- University of Bristol (GB)
- Heilbronn Institute for Mathematical Research (GB)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2024-11-15
- DOI
- https://doi.org/10.1142/s1793042125500496
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00