Determination of the algebraic relations among special Γ-values in positive characteristic

被引：79
作者：
Anderson, GW [1 ]
Brownawell, WD
Papanikolas, MA
机构：
[1] Univ Minnesota, Minneapolis, MN USA
[2] Penn State Univ, University Pk, PA 16802 USA
[3] Texas A&M Univ, College Stn, TX USA
来源：
ANNALS OF MATHEMATICS | 2004年 / 160卷 / 01期
关键词：
D O I：
10.4007/annals.2004.160.237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Gamma-function over F-q[T] are explained by the standard functional equations.
引用
收藏
页码：237 / 313
页数：77
相关论文
共 29 条
[11]  
Deligne P., 1979, Proc. Sympos. Pure Math., V33, P313
[12]  
GOSS D, 1996, ERGEBNISSE MATH GREN, V35
[13]  
HAYES DR, 1974, T AM MATH SOC, V189, P77
[14]  
KUBERT DS, 1979, B SOC MATH FR, V107, P203
[15]  
KUBERT DS, 1979, B SOC MATH FR, V107, P179
[16]  
KUCERA R, 1992, J NUMBER THEORY, V40, P264
[17]   ALGEBRAIC GROUPS OVER FINITE FIELDS [J].
LANG, S .
AMERICAN JOURNAL OF MATHEMATICS, 1956, 78 (03) :555-563
[18]  
Lang S., 1990, Cyclotomic Fields, I, II, V121
[19]  
Rosen M., 2002, GRAD TEXT M, V210
[20]  
Shih, 1982, LECT NOTES MATH, V900
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