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

被引:20
作者
Moriyama, T [1 ]
机构
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
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
收藏
页码:899 / 920
页数:22
相关论文
共 28 条
[11]  
KATO S, 1978, EXPLICIT FORMULA CLA
[12]  
KNAP, 1986, REPRESENTATION THEOR, V36
[13]   WHITTAKER VECTORS AND REPRESENTATION THEORY [J].
KOSTANT, B .
INVENTIONES MATHEMATICAE, 1978, 48 (02) :101-184
[14]   SOME RESULTS ON THE UNRAMIFIED PRINCIPAL SERIES OF P-ADIC GROUPS [J].
LI, JS .
MATHEMATISCHE ANNALEN, 1992, 292 (04) :747-761
[15]   Principal series Whittaker functions on Sp(2;R), II [J].
Miyazaki, T ;
Oda, T .
TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (02) :243-260
[16]   Principal series Whittaker functions on Sp(2;R), II (vol 50, pg 243, 1998) [J].
Miyazaki, T ;
Oda, T .
TOHOKU MATHEMATICAL JOURNAL, 2002, 54 (01) :161-162
[17]  
Miyazaki Takuya, 2000, J MATH SCI-UNIV TOKY, V7, P241
[18]  
Moeglin C., 1995, CAMBRIDGE TRACTS MAT, V113
[19]  
Moriyama T., 2002, Journal of Mathematical Sciences, University of Tokyo, V9, P627
[20]   COMMUTATION RELATIONS OF DIFFERENTIAL-OPERATORS AND WHITTAKER FUNCTIONS ON SP(2)(R) [J].
NIWA, S .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1995, 71 (08) :189-191