Poles of p-adic Asai L-functions and distinguished representations
Number Theory
2026-01-08 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2501.11472,
title = {Poles of p-adic Asai L-functions and distinguished representations},
author = {David Loeffler and Sarah Livia Zerbes},
journal= {arXiv preprint arXiv:2501.11472},
year = {2026}
}
Comments
10 pages; revised version, including appendix giving details of zeta-integral computation