Linear independence of monomials of multizeta values in positive characteristic

By Chieh-Yu Chang. Compositio Mathematica, 2012

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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. The same result is also established for Carlitz multiple polylogarithms at algebraic points.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c623ff5bf35db5fade17ccbe7561f8d5c3594f76