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

页码：9 / 11

页数：3

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