Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals
Number Theory
2024-09-04 v1 Representation Theory
Abstract
We give explicit formulas of Whittaker functions on GL(4,R) for all irreducible generic representations. As an application, we determine test vectors which attain the associated L-factors for Bump-Friedberg integrals on GL(4,R).
Cite
@article{arxiv.2409.00401,
title = {Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals},
author = {Miki Hirano and Taku Ishii and Tadashi Miyazaki},
journal= {arXiv preprint arXiv:2409.00401},
year = {2024}
}