Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic

DOI10.1080/10586458.2015.1069228zbMath1415.11117OpenAlexW2293878436MaRDI QIDQ2815494

Yi-Hsuan Lin, Yen-Liang Kuan

Publication date: 29 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2015.1069228

zbMATH Keywords

heightsCarlitz tensor powersmultizeta valueszeta-like

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Zeta and (L)-functions in characteristic (p) (11M38) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Zeta-like multiple zeta values in positive characteristic, The Mordell-Weil theorem for certain 𝑡-modules, On Zagier-Hoffman's conjectures in positive characteristic, On depth 2 zeta-like families, Linear equations on Drinfeld modules, On Thakur’s basis conjecture for multiple zeta values in positive characteristic, Multizeta in function field arithmetic, Multizeta values for function fields: A survey, An effective criterion for Eulerian multizeta values in positive characteristic, A conjectural characterization for \(\mathbb{F}_q(t)\)-linear relations between multizeta values

Cites Work

• Mixed Tate motives over \(\mathbb{Z}\)
• Tensor powers of the Carlitz module and zeta values
• On von Staudt for Bernoulli-Carlitz numbers
• Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t\)]
• \(t\)-motives
• On certain functions connected with polynomials in a Galois field
• Linear independence of monomials of multizeta values in positive characteristic
• Zeta-like multizeta values for \(\mathbb{F}_q [t\)]