An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices

被引：1

作者：

Yamana, Shunsuke ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 8190395, Japan

来源：

RAMANUJAN JOURNAL | 2013年 / 31卷 / 03期

关键词：

Eisenstein series; Local density; Jacobi forms; JACOBI DEVELOPMENT; ORTHOGONAL GROUPS; MODULAR-FORMS; REPRESENTATION; INTEGERS; SUMS;

D O I：

10.1007/s11139-012-9446-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an explicit formula for local densities of inhomogeneous quadratic forms. The formula is derived by calculating explicitly the Fourier coefficients of various types of Eisenstein series.

引用

页码：315 / 352

页数：38

共 29 条

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