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Linear independence of monomials of multizeta values in positive characteristic

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  27 August 2014

Chieh-Yu Chang
Chieh-Yu Chang*
Affiliation:
Department of Mathematics, National Tsing Hua University and National Center for Theoretical Sciences, Hsinchu City 30042, Taiwan, R.O.C. email cychang@math.nthu.edu.tw
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Abstract

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In this paper, we study transcendence theory for Thakur multizeta values in positive characteristic. We prove an analogue of the strong form of Goncharov’s conjecture. The same result is also established for Carlitz multiple polylogarithms at algebraic points.

Keywords

multizeta valuestranscendencelinear independencecarlitz multiple polylogarithms

MSC classification

Primary: 11J91: Transcendence theory of other special functions 11J93: Transcendence theory of Drinfel'd and $t$-modules
Type
Research Article
Information
Compositio Mathematica , Volume 150 , Issue 11 , November 2014 , pp. 1789 - 1808
Copyright
© The Author 2014 

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