Poles of p-adic Asai L-functions and distinguished representations
arXiv:2501.11472 · doi:10.1093/imrn/rnaf363
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.
10 pages; revised version, including appendix giving details of zeta-integral computation