A note on a refined version of Anderson-Brownawell-Papanikolas criterion

DOI10.1016/j.jnt.2008.10.012zbMath1187.11022OpenAlexW2055850934MaRDI QIDQ1011688

Chieh-Yu Chang

Publication date: 9 April 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.012

zbMATH Keywords

function fieldslinear independencealgebraic independencet-motives

Mathematics Subject Classification ID

Transcendence theory of Drinfel'd and (t)-modules (11J93)

Related Items (8)

Algebraic independence of arithmetic gamma values and Carlitz zeta values ⋮ Algebraic independence of the Carlitz period and its hyperderivatives ⋮ Linear independence of monomials of multizeta values in positive characteristic ⋮ Frobenius difference equations and difference Galois groups ⋮ An introduction to Mahler's method for transcendence and algebraic independence ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ On algebraic independence of certain multizeta values in characteristic \(p\) ⋮ Periods of \(t\)-modules as special values

Cites Work

• Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
• Tensor powers of the Carlitz module and zeta values
• Algebraic independence of arithmetic gamma values and Carlitz zeta values
• 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
• A refined version of the Siegel-Shidlovskii theorem
• Algebraic relations among periods and logarithms of rank 2 Drinfeld modules
• Geometric Gamma Values and Zeta Values in Positive Characteristic

This page was built for publication: A note on a refined version of Anderson-Brownawell-Papanikolas criterion