Trace Formula for Integral Points on the Three-Dimensional Sphere

被引：0
|
作者：
Bykovskii, V. A. [1 ]
Monina, M. D. [1 ]
机构：
[1] Russian Acad Sci, Far Eastern Branch, Inst Appl Math, Khabarovsk Branch, Khabarovsk 680000, Russia
来源：
DOKLADY MATHEMATICS | 2020年 / 101卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
integral points on a sphere; modular functions; L-series of parabolic forms;
D O I：
10.1134/S1064562420010044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Average values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated with the Hecke basis in spaces of holomorphic parabolic forms of integer even weight with respect to the congruence subgroup Gamma(0)(4) is obtained.
引用
收藏
页码：9 / 11
页数：3
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