The Whittaker-Shintani functions for symplectic groups
Representation Theory
2012-11-16 v1 Number Theory
Abstract
In this note, we give a formula for the Whittaker-Shintani functions for the p-adic symplectic groups, which is a generalization of the Zonal spherical functions and Whittaker functions. We then use the formula to give an alternative proof of a conjecture given by T.Shintani on the unramified calculation of L-function for .
Keywords
Cite
@article{arxiv.1211.3661,
title = {The Whittaker-Shintani functions for symplectic groups},
author = {Xin Shen},
journal= {arXiv preprint arXiv:1211.3661},
year = {2012}
}