Transcendence of gamma values for F-q[T]
成果类型：
Article
署名作者：
Thakur, DS
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/2118588
发表日期：
1996
页码：
181-188
关键词：
摘要：
We prove that many values at proper fractions of the gamma function for F-q[T] (introduced by Carlitz and Goss) are transcendental over F-q (T). In particular, (n - 1/b)! is transcendental for any integer n and a positive integer b > 1, prime to q. Our proof is based on the transcendence criterion of Christol.