Theta functions with harmonic coefficients over number fields

被引：10

作者：

Richter, OK ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[2] Univ N Texas, Dept Math, Denton, TX 76203 USA

来源：

JOURNAL OF NUMBER THEORY | 2002年 / 95卷 / 01期

关键词：

D O I：

10.1006/jnth.2001.2758

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate theta functions attached to quadratic forms over a number field K. We establish a functional equation by regarding the theta functions as specializations of symplectic theta functions. By applying a differential operator to the functional equation, we show how theta functions with harmonic coefficients over K behave under modular transformations. (C) 2002 Elsevier Science (USA).

引用

页码：101 / 121

页数：21

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