Linear independence of monomials of multizeta values in positive characteristic
Number Theory
2019-02-20 v4
Abstract
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.
Keywords
Cite
@article{arxiv.1207.2326,
title = {Linear independence of monomials of multizeta values in positive characteristic},
author = {Chieh-Yu Chang},
journal= {arXiv preprint arXiv:1207.2326},
year = {2019}
}
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