Transcendence of Gamma values for F_q[T], by Dinesh S. Thakur
This paper has appeared in Ann. of Math. (2) 144 (1996), no. 1, 181-188,
and so the dvi version has been removed. We prove that many gamma 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 and prime to q. Our proof is based on transcendence
criterion of Christol.
Dinesh S. Thakur <email@example.com>