Algebraic independence of the Carlitz period and the positive characteristic multizeta values at $n$ and $(n,n)$

DOI10.1090/S0002-9939-2015-12532-4zbMath1322.11082arXiv1307.3725OpenAlexW2024257500MaRDI QIDQ5264158

Yoshinori Mishiba

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3725

zbMATH Keywords

\(t\)-motivesCarlitz periodmultizeta values in positive characteristic

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (6)

Prolongations of \(t\)-motives and algebraic independence of periods ⋮ On Zagier-Hoffman's conjectures in positive characteristic ⋮ Multizeta in function field arithmetic ⋮ On lower bounds of the dimensions of multizeta values in positive characteristic ⋮ On algebraic independence of certain multizeta values in characteristic \(p\) ⋮ Alternating multizeta values in positive characteristic

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• An effective criterion for Eulerian multizeta values in positive characteristic
• Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic
• Determination of algebraic relations among special zeta values in positive characteristic
• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• On certain functions connected with polynomials in a Galois field
• Linear independence of monomials of multizeta values in positive characteristic
• Multizeta Values for , Their Period Interpretation, and Relations between Them
• Relations Between Multizeta Values for

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