RANKIN-SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE

被引：1

作者：

Mizuno, Yoshinori ^{[1
]}

机构：

[1] Tokushima Univ, Grad Sch Technol Ind & Social Sci, 2-1 Minami Josanjima Cho, Tokushima 7708506, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 2020年 / 237卷

关键词：

MULTIPLE DIRICHLET SERIES; EISENSTEIN-SERIES; ZETA-FUNCTIONS; MODULAR FORMS; CLASS-NUMBERS; CUSP FORMS; VALUES; SQUARE;

D O I：

10.1017/nmj.2018.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author gives the analytic properties of the Rankin-Selberg convolutions of two half-integral weight Maass forms in the plus space. Applications to the Koecher-Maass series associated with nonholomorphic Siegel-Eisenstein series are given.

引用

页码：127 / 165

页数：39

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