On sup-norm bounds part II: GL(2) Eisenstein series

被引：7

作者：

Assing, Edgar ^{[1
]}

机构：

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

来源：

FORUM MATHEMATICUM | 2019年 / 31卷 / 04期

关键词：

Sup-norm; Eisenstein series; number fields; amplification; EIGENFUNCTIONS; ERGODICITY;

D O I：

10.1515/forum-2018-0014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the sup-norm problem in the context of analytic Eisenstein series for GL(2) over number fields. We prove a hybrid bound which is sharper than the corresponding bound for MaaSS forms. Our results generalize those of Huang and Xu where the case of Eisenstein series of square-free levels over the base field Q had been considered.

引用

页码：971 / 1006

页数：36

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