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P-adic Asai L-functions for quadratic Hilbert eigenforms

Published 13 Jul 2023 in math.NT | (2307.07004v3)

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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