Conductors of twisted Weil–Deligne representations

Matthew Bisatt; Ross Paterson

doi:10.1142/S1793042125500496

Conductors of twisted Weil–Deligne representations

Matthew Bisatt, Ross Paterson^*

^*Corresponding author for this work

School of Mathematics

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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 L(A⊠B,s) where A,B/K are abelian varieties.

Original language	English
Pages (from-to)	975-991
Number of pages	17
Journal	International Journal of Number Theory
Volume	21
Issue number	5
Early online date	31 Dec 2024
DOIs	https://doi.org/10.1142/S1793042125500496
Publication status	Published - 1 Jun 2025

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© 2025 World Scientific Publishing Company.

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AB - 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 L(A⊠B,s) where A,B/K are abelian varieties.

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M3 - Article (Academic Journal)

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JO - International Journal of Number Theory

JF - International Journal of Number Theory

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Conductors of twisted Weil–Deligne representations

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