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arXiv:1207.2326 [math.NT]AbstractReferencesReviewsResources

Linear independence of monomials of multizeta values in positive characteristic

Chieh-Yu Chang

Published 2012-07-10, updated 2014-05-01Version 4

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. We also establish the same result for Carlitz multiple polylogarithms at nontrivial algebraic points.

Comments: 19 pages; v2: minor corrections on graded algebras are made; v3: minor revision; v4: the last section consists of the last two sections of v3; final version to appear in Compositio Mathematica
Categories: math.NT
Subjects: 11J91, 11J93
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