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Multizeta values for function fields: A survey (Q5374150)

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scientific article; zbMATH DE number 6857233

Language	Label	Description	Also known as
English	Multizeta values for function fields: A survey	scientific article; zbMATH DE number 6857233

Statements

scholarly article

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Multizeta values for function fields: A survey (English)

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Dinesh S. Thakur

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Journal de Théorie des Nombres de Bordeaux

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publication date

9 April 2018

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zbMATH Keywords

t-motives

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periods

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shuffle relations

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polylogarithms

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mixed Tate motives

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.5802/jtnb.1009

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Rank one elliptic \(A\)-modules and \(A\)-harmonic series

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Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)

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Digit patterns and the formal additive group

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Determination of the algebraic relations among special \(\Gamma\)-values in positive characteristic

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Multizeta Values for , Their Period Interpretation, and Relations between Them

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Tensor powers of the Carlitz module and zeta values

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Twisted characteristic \(p\) zeta functions

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Arithmetic of positive characteristic -series values in Tate algebras

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On certain functions connected with polynomials in a Galois field

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Linear independence of monomials of multizeta values in positive characteristic

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Linear relations among double zeta values in positive characteristic

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On finite Carlitz multiple polylogarithms

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Geometric Gamma Values and Zeta Values in Positive Characteristic

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Determination of algebraic relations among special zeta values in positive characteristic

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\(\zeta(\{ \{ 2 \}^m, 1, \{2 \}^m, 3 \}^n, \{2 \}^m) / \pi^{4 n + 2 m(2 n + 1)}\) is rational

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Anderson-Thakur polynomials and multizeta values in positive characteristic

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On shuffle of double zeta values over \(\mathbb{F}_q [t]\)

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Beyond two criteria for supersingularity: coefficients of division polynomials

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Special \(L\)-values of abelian \(t\)-modules

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Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic

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Special values of \(L\)-functions in characteristic \(p\)

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Some conjectures and results about multizeta values for \(\mathbb F_q[t]\)

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Relations between multizeta values in characteristic \(p\)

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Zeta-like multizeta values for \(\mathbb{F}_q [t]\)

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Multiplicative relations between coefficients of logarithmic derivatives of 𝔽<sub>q</sub>-linear functions and applications

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Multizeta shuffle relations for function fields with non rational infinite place

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On algebraic independence of certain multizeta values in characteristic \(p\)

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Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms

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Values of certain \(L\)-series in positive characteristic

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A note on multiple zeta values in Tate algebras

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A sum-shuffle formula for zeta values in Tate algebras

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On certain generating functions in positive characteristic

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A Dirichlet unit theorem for Drinfeld modules

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Special \(L\)-values of Drinfeld modules

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Shuffle Relations for Function Field Multizeta Values

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Power sums with applications to multizeta and zeta zero distribution for \(\mathbb F_q[t]\)

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Relations Between Multizeta Values for

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Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields

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A conjectural characterization for \(\mathbb{F}_q(t)\)-linear relations between multizeta values

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Certain quantities transcendental over \(\text{GF}(p^n,x)\)

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Transcendence and special zeta values in characteristic p

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Analytic homomorphisms into Drinfeld modules

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Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values

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Identifiers

zbMATH Open document ID

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10.5802/jtnb.1009

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5374150

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