Arithmetic Siegel-Weil formula on X0(N)

被引：5
|
作者：
Du, Tuoping [1 ]
Yang, Tonghai [2 ]
机构：
[1] Northwest Univ, Dept Math, Xian 710127, Shaanxi, Peoples R China
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
ADVANCES IN MATHEMATICS | 2019年 / 345卷
关键词：
Arithmetic Siegel-Weil formula; Arithmetic intersection; EISENSTEIN SERIES; DERIVATIVES; CURVES;
D O I：
10.1016/j.aim.2019.01.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we proved an arithmetic Siegel-Weil formula and the modularity of some arithmetic theta function on the modular curve X-0(N) when N is square free. In the process, we also constructed some generalized Delta function for Gamma(0)(N) and proved some explicit Kronecker limit formula for Eisenstein series on X-0(N). (C) 2019 Elsevier Inc. All rights reserved.
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页码：702 / 755
页数：54
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