ON THE SIZE OF p-ADIC WHITTAKER FUNCTIONS

被引：7

作者：

Assing, Edgar ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Bristol, Avon, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 08期

关键词：

Automorphic representations; Whittaker new vectors; p-adic stationary phase; p-adic special functions; EXPONENTIAL-SUMS; LARGE VALUES; NEWFORMS;

D O I：

10.1090/tran/7685

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 nonarchimedean fields. We derive precise bounds for such functions in all possible situations. Our main tool is the p-adic method of stationary phase.

引用

页码：5287 / 5340

页数：54

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