Upper bounds for geodesic periods over hyperbolic manifolds

被引：1
|
作者：
Su, Feng [1 ]
机构：
[1] Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2018年 / 29卷 / 01期
关键词：
Geodesic period; Maass form; hyperbolic manifold; AUTOMORPHIC-FORMS; EIGENFUNCTIONS; RESTRICTION; VALUES; CYCLES;
D O I：
10.1142/S0129167X1850009X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.
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页数：18
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