A prime geodesic theorem for SL4

被引：3
|
作者：
Deitmar, Anton [1 ]
Pavey, Mark [1 ]
机构：
[1] Univ Tubingen, Dept Math, D-72076 Tubingen, Germany
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2008年 / 33卷 / 02期
关键词：
prime geodesic theorem; trace formula; Ruelle zeta function;
D O I：
10.1007/s10455-007-9078-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A prime geodesic theorem is derived for rank-one geodesics in quotients of SL4. This has applications in class number asymptotics for quartic fields. For these applications it is necessary to prove a more general statement than in the literature: several regularity conditions have to be abandoned. As a consequence, the analytical difficulties multiply. The final result is obtained by a sandwiching argument from infinitely many independent asymptotics.
引用
收藏
页码：161 / 205
页数：45
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