Prime geodesic theorem via the explicit formula of Ψ for hyperbolic 3-manifolds

被引：10
|
作者：
Nakasuji, M [1 ]
机构：
[1] Keio Univ, Dept Math, Kohoku Ku, Kanagawa 2238522, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2001年 / 77卷 / 07期
关键词：
lower bound; prime geodesic theorem; explicit formula;
D O I：
10.3792/pjaa.77.130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a lower bound for the error term of the prime geodesic theorem for hyperbolic 3-manifolds. Our result is Omega (+/-)(x(log log x)(1/3)/ log x). We also generalize Sarnak's upper bound O(x((5/3)+epsilon)) to compact manifolds.
引用
收藏
页码：130 / 133
页数：4
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