Linear independence and divided derivatives of a Drinfeld module II

DOI10.1090/S0002-9939-00-05633-1zbMath1099.11509OpenAlexW1886801630MaRDI QIDQ4955738

W. Dale Brownawell, Laurent Denis

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05633-1

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93)

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Prolongations of \(t\)-motives and algebraic independence of periods, Algebraic independence of the Carlitz period and its hyperderivatives, A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives, Calculus in positive characteristic \(p\), Minimal extensions of algebraic groups and linear independence, Periods of \(t\)-modules as special values, Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients