P-adic Asai L-functions for quadratic Hilbert eigenforms

Fuente: arXiv
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Auteurs principaux: Grossi, Giada, Loeffler, David, Zerbes, Sarah Livia
Format: Preprint
Publié: 2023
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author Grossi, Giada
Loeffler, David
Zerbes, Sarah Livia
author_facet Grossi, Giada
Loeffler, David
Zerbes, Sarah Livia
contents We construct p-adic Asai L-functions for cuspidal automorphic representations of GL2 / F, where F is a real quadratic field in which p splits. Our method relies on higher Hida theory for Hilbert modular surfaces with Iwahori level at one prime above p.
format Preprint
id arxiv_https___arxiv_org_abs_2307_07004
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle P-adic Asai L-functions for quadratic Hilbert eigenforms
Grossi, Giada
Loeffler, David
Zerbes, Sarah Livia
Number Theory
11F41, 11F33, 11G18, 14G35
We construct p-adic Asai L-functions for cuspidal automorphic representations of GL2 / F, where F is a real quadratic field in which p splits. Our method relies on higher Hida theory for Hilbert modular surfaces with Iwahori level at one prime above p.
title P-adic Asai L-functions for quadratic Hilbert eigenforms
topic Number Theory
11F41, 11F33, 11G18, 14G35
url https://arxiv.org/abs/2307.07004