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.
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页码：899 / 920
页数：22
相关论文
共 28 条
  • [1] Ahlfors LV., 1978, COMPLEX ANAL
  • [2] Andrianov A. N., 1971, T MAT I STEKLOVA, V112, P73
  • [3] BARBASCH D, 1994, REPRESENTATION THEOR, V177, P101
  • [4] BUMP, 1997, AUTOMORPHIC FORMS RE
  • [5] BUMP D, 1989, NUMBER THEORY TRACE, P49
  • [6] CASSELMAN W, 1980, COMPOS MATH, V41, P207
  • [7] GELBART A, 1988, ANAL PROPERTIES AUTO, V6
  • [8] HOFFSTEIN J, 1989, L SERIES AUTOMORPHIC, P398
  • [9] ANDRIANOV L-FUNCTIONS ASSOCIATED TO SIEGEL WAVE-FORMS OF DEGREE-2
    HORI, A
    [J]. MATHEMATISCHE ANNALEN, 1995, 303 (02) : 195 - 226
  • [10] ISHII T, 2002, PRINCIPAL SERIES WHI
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