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arxiv: 1207.2326 · v4 · pith:KQTHW3NTnew · submitted 2012-07-10 · 🧮 math.NT

Linear independence of monomials of multizeta values in positive characteristic

classification 🧮 math.NT
keywords characteristicmultizetapositivevaluesalgebraicanaloguecarlitzconjecture
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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. We also establish the same result for Carlitz multiple polylogarithms at nontrivial algebraic points.

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