On the linear independence in algebraic number fields

DOI10.1007/BF03323148zbMath0804.11045OpenAlexW2168084087MaRDI QIDQ1320082

Thomas Töpfer

Publication date: 31 May 1994

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323148

zbMATH Keywords

explicit quantitative version of the Lindemann-Weierstrass theoremlinear independence over arbitrary algebraic number fields

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (6)

Linear independence of values of \(G\)-functions ⋮ ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I ⋮ On a criterion of linear independence of \(p\)-adic numbers ⋮ A refinement of Nesterenko's linear independence criterion with applications to zeta values ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Nesterenko's criterion when the small linear forms oscillate

Cites Work

• Einführung in die Zahlentheorie
• On linear independence
• On Some Diophantine Inequalities Involving the Exponential Function
• THE DEVELOPMENT AND PRESENT STATE OF THE THEORY OF TRANSCENDENTAL NUMBERS
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