Algebraic independence of arithmetic gamma values and Carlitz zeta values

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

doi:10.1016/j.aim.2009.09.013

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Algebraic independence of arithmetic gamma values and Carlitz zeta values

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Algebraic independence of arithmetic gamma values and Carlitz zeta values

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

Advances in Mathematics, Vol.223(4), pp.1137-1154

01/03/2010

DOI: https://doi.org/10.1016/j.aim.2009.09.013

Abstract

Algebraic independence

Gamma values

t-Motives

Zeta values

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 [θ] and provide complete algebraic independence results for them. © 2009 Elsevier Inc. All rights reserved.

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Title: Algebraic independence of arithmetic gamma values and Carlitz zeta values
Creators - without role: Chieh-Yu Chang - National Central University
Matthew A. Papanikolas - Texas A&M University
Dinesh S. Thakur - University of Arizona
Jing Yu - National Taiwan University
Publication Details: Advances in Mathematics, Vol.223(4), pp.1137-1154
Identifiers: 9957776676706774
Academic Unit: Department of Mathematics, College of Science, National Tsing Hua University
Language: English
Resource Type: Journal article

Algebraic independence of arithmetic gamma values and Carlitz zeta values

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