P-adic Asai L-functions for quadratic Hilbert eigenforms

Giada Grossi; David Loeffler; Sarah Livia Zerbes

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arXiv · 2307.07004

P-adic Asai L-functions for quadratic Hilbert eigenforms

Giada Grossi·David Loeffler·Sarah Livia Zerbes

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Abstract

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.

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Giada Grossi, David Loeffler, Sarah Livia Zerbes. 2023-07-13. P-adic Asai L-functions for quadratic Hilbert eigenforms. https://arxiv.org/abs/2307.07004

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