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arXiv · 0909.0096

Algebraic independence of arithmetic gamma values and Carlitz zeta values

Chieh-Yu Chang·Matthew A. Papanikolas·Dinesh S. Thakur·Jing Yu
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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.

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Chieh-Yu Chang, Matthew A. Papanikolas, Dinesh S. Thakur, Jing Yu. 2009-09-01. Algebraic independence of arithmetic gamma values and Carlitz zeta values. https://arxiv.org/abs/0909.0096

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