Generalization of the criteria for linear independence of Nesterenko, Amoroso, Colmez, Fischler and Zudilin

DOI10.5802/ambp.305zbMath1252.11056OpenAlexW2272928327MaRDI QIDQ443795

Amarisa Chantanasiri

Publication date: 13 August 2012

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.305

zbMATH Keywords

Diophantine approximationirrationalitylinear independencegeometry of numbersAmorosoColmezCriteria for linear independenceDirichlet box principleFischlerlinear eliminationNesterenkoZudilin

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (4)

Linear independence result for \(p\)-adic \(L\)-values ⋮ Quantitative generalizations of Nesterenkos's linear independence criterion ⋮ A converse to linear independence criteria, valid almost everywhere ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion

Cites Work

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• On a criterion of linear independence of \(p\)-adic numbers
• A refinement of Nesterenko's linear independence criterion with applications to zeta values
• On the linear independence of numbers
• Diophantine approximation
• Nombres transcendants
• On the criteria for linear independence of Nesterenko, Fischler and Zudilin

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