A refinement of Nesterenko's linear independence criterion with applications to zeta values

DOI10.1007/s00208-009-0457-yzbMath1206.11088OpenAlexW2171805844MaRDI QIDQ976776

Wadim Zudilin, Stéphane Fischler

Publication date: 16 June 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0457-y

zbMATH Keywords

applications to zeta valueslinear independence criterion

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (13)

Quantitative generalizations of Nesterenkos's linear independence criterion ⋮ A note on odd zeta values ⋮ A note on linear independence of polylogarithms over the rationals ⋮ Generalization of the criteria for linear independence of Nesterenko, Amoroso, Colmez, Fischler and Zudilin ⋮ Many odd zeta values are irrational ⋮ Distribution of irrational zeta values ⋮ On a criterion of linear independence of \(p\)-adic numbers ⋮ Restricted rational approximation and Apéry-type constructions ⋮ Many values of the Riemann zeta function at odd integers are irrational ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Nesterenko's criterion when the small linear forms oscillate ⋮ HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS ⋮ Nesterenko's linear independence criterion for vectors

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