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

From MaRDI portal
Publication:2471788

DOI10.1007/s00222-007-0073-yzbMath1235.11074arXivmath/0506078OpenAlexW2036803053WikidataQ60118203 ScholiaQ60118203MaRDI QIDQ2471788

Matthew A. Papanikolas

Publication date: 18 February 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506078




Related Items (67)

Transcendence of special values of quasi-modular formsOn certain generating functions in positive characteristicZeta-like multiple zeta values in positive characteristicVectorial Drinfeld modular forms over Tate algebrasArtin \(t\)-motifsAlgebraic independence of arithmetic gamma values and Carlitz zeta valuesProlongations of \(t\)-motives and algebraic independence of periodsAlgebraic independence of the Carlitz period and its hyperderivativesDifference Galois theory for the ``applied mathematicianFrom the Carlitz exponential to Drinfeld modular formsOn the algebraicity of generalized power seriesOn Zagier-Hoffman's conjectures in positive characteristicLinear independence of monomials of multizeta values in positive characteristicTaylor coefficients of Anderson-Thakur series and explicit formulaeAlgebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base fieldValues of certain \(L\)-series in positive characteristicAlgebraic independence of values of Goss \(L\)-functions at \(s=1\)Linear equations on Drinfeld modulesAlgebraic relations among Goss’s zeta values on elliptic curvesOn Thakur’s basis conjecture for multiple zeta values in positive characteristicA rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motivesLocal shtukas, Hodge-Pink structures and Galois representationsFrobenius difference equations and difference Galois groupsAn introduction to Mahler's method for transcendence and algebraic independenceOn periods of the third kind for rank 2 Drinfeld moduleUniversal families of Eulerian multiple zeta values in positive characteristicOn a variant of Schanuel conjecture for the Carlitz exponentialMultizeta values for function fields: A surveyOn finite Carlitz multiple polylogarithmsOn \(v\)-adic periods of \(t\)-motivesIdentities for Anderson generating functions for Drinfeld modulesAn effective criterion for Eulerian multizeta values in positive characteristicOn a conjecture of Furusho over function fieldsThe de Rham isomorphism for Drinfeld modules over Tate algebrasSpecial values of Drinfeld modular forms and algebraic independenceDetermination of algebraic relations among special zeta values in positive characteristicArithmetic of Gamma, Zeta and Multizeta Values for Function FieldsRecent developments in the theory of Anderson modulesEquivariant hom-Lie algebras and twisted derivations on (arithmetic) schemesFrobenius modules and Galois representationsSchanuel property for additive power seriesPure Anderson motives and abelian \(\tau\)-sheavesGalois theory for iterative connections and nonreduced Galois groupsOn lower bounds of the dimensions of multizeta values in positive characteristicA general theory of André's solution algebras\(h^1\neq h_1\) for Anderson t-motivesA difference version of Nori's theoremOn algebraic independence of certain multizeta values in characteristic \(p\)Alternating multizeta values in positive characteristicA note on a refined version of Anderson-Brownawell-Papanikolas criterionHypergeometric functions for function fields and transcendencePeriods of \(t\)-modules as special valuesTensor powers of rank 1 Drinfeld modules and periodsOn twisted \(A\)-harmonic sums and Carlitz finite zeta valuesA \(t\)-motivic interpretation of shuffle relations for multizeta valuesTranscendence in positive characteristic and special values of hypergeometric functionsSpecial \(L\)-values of Drinfeld modulesFour exponentials conjecture of Drinfeld modulesSpecial \(L\)-values and shtuka functions for Drinfeld modules on elliptic curvesOn certain families of Drinfeld quasi-modular formsAlgebraic independence of periods and logarithms of Drinfeld modulesAnalytic continuation of multiple polylogarithms in positive characteristicA categorical approach to Picard-Vessiot theoryAlgebraic independence of the Carlitz period and the positive characteristic multizeta values at $n$ and $(n,n)$Taylor coefficients of Anderson generating functions and Drinfeld torsion extensionsAnderson 𝑡-modules with thin 𝑡-adic Galois representationsAlgebraic independence results for colored multizeta values in characteristic p



Cites Work


This page was built for publication: Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms