On the size of p-adic Whittaker functions
Number Theory
2018-12-24 v4
Abstract
In this paper we tackle a question raised by N. Templier and A. Saha concerning the size of Whittaker new vectors appearing in infinite dimensional representations of GL(2) over non-archimedean fields. We derive precise bounds for such functions in all possible situations. Our main tool is the p-adic method of stationary phase.
Keywords
Cite
@article{arxiv.1710.00360,
title = {On the size of p-adic Whittaker functions},
author = {Edgar Assing},
journal= {arXiv preprint arXiv:1710.00360},
year = {2018}
}
Comments
41 pages, v4: Minor corrections, including suggestions by the anonymous Referee. Accepted for publication by the Transactions of the American Mathematical Society