ON THE SPINOR L-FUNCTION OF MIYAWAKI-IKEDA LIFTS

被引：1

作者：

Hayashida, Shuichi ^{[1
]}

机构：

[1] Joetsu Univ Educ, Dept Math, Joetsu, Niigata 9438512, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2014年 / 10卷 / 02期

关键词：

Siegel modular form; spinor L-function; symmetric power L-function; Miyawaki-Ikeda lift; Maass relation; ELLIPTIC CUSP FORMS; CONJECTURE;

D O I：

10.1142/S1793042113500930

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider lifts from two elliptic modular forms to Siegel modular forms of odd degrees which are special cases of Miyawaki-Ikeda lifts. Assuming non-vanishing of these Miyawaki-Ikeda lifts, we show that the spinor L-functions of these Miyawaki-Ikeda lifts are products of certain symmetric power L-functions determined by original two elliptic modular forms.

引用

页码：297 / 307

页数：11

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