Poles of p-adic Asai L-functions and distinguished representations

2025/01/20 by Loeffler, David, Zerbes, Sarah Livia
#11F41 #11F67 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2501.11472

Abstract

We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providing a p-adic counterpart of a well-known theorem of Flicker for the complex Asai L-function.

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