Entireness of the spinor L-functions for certain generic cusp forms on GSp(2)

被引：19

作者：

Moriyama, T ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2004年 / 126卷 / 04期

关键词：

D O I：

10.1353/ajm.2004.0032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = GSp(2) be the symplectic group with similitude of degree two, which is defined over Q. For a generic cusp form F on the adelized group G(A) whose archimedean type is either a (limit of) large discrete series representation or a certain principal series representation, we show that its spinor L-function is continued to an entire function and satisfies the functional equation.

引用

页码：899 / 920

页数：22

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