The prime geodesic theorem in square mean

被引：10

作者：

Balog, Antal ^{[1
,2
]}

Biro, Andras ^{[1
,2
]}

Harcos, Gergely ^{[1
,2
,3
]}

Maga, Peter ^{[1
,2
]}

机构：

[1] Hungarian Acad Sci, Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary

[2] MTA Renyi Int Lendulet Automorph Res Grp, Budapest, Hungary

[3] Cent European Univ, Nador U 9, H-1051 Budapest, Hungary

来源：

JOURNAL OF NUMBER THEORY | 2019年 / 198卷

关键词：

Prime geodesic theorem; Spectral exponential sums; LOCAL AVERAGE; FORMS;

D O I：

10.1016/j.jnt.2018.10.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for PSL2(Z). We also develop a short interval version of this result. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：239 / 249

页数：11

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