Norm bounds on Eisenstein series

被引：0

作者：

Kelmer, Dubi ^{[1
]}

Kontorovich, Alex ^{[2
]}

Lutsko, Christopher ^{[3
]}

机构：

[1] Boston Coll, Dept Math, Boston, MA USA

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08854 USA

[3] Univ Zurich, Inst Math, Zurich, Switzerland

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 08期

关键词：

Sup norms; Eisenstein series; Epstein zeta function; SUP-NORM; EIGENFUNCTIONS;

D O I：

10.1142/S1793042124501021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the sup-norm bound (both individually and on average) for Eisenstein series on certain arithmetic hyperbolic orbifolds producing sharp exponents for the modular surface and Picard 3-fold. The methods involve bounds for Epstein zeta functions, and counting restricted values of indefinite quadratic forms at integer points.

引用

收藏

页码：2083 / 2098

页数：16

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