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Algebraic independence of arithmetic gamma values and Carlitz zeta values.

Ср, 09/02/2009 - 12:02 — SomNambul
Authors: Chieh-Yu Chang, Matthew A. Papanikolas, Dinesh S. Thakur, Jing Yu
Subjects: Number Theory
link: http://arxiv.org/abs/0909.0096
Abstract

We consider the values at proper fractions of the arithmetic gamma function
and the values at positive integers of the zeta function for F_q[theta] and
provide complete algebraic independence results for them.