Report on Diophantine approximations

DOI10.24033/bsmf.1621zbMath0135.10802OpenAlexW2495789898MaRDI QIDQ5507781

Serge Lang

Publication date: 1965

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1965__93__177_0

zbMATH Keywords

number theory

Related Items (16)

Intrinsic Diophantine approximation on quadric hypersurfaces ⋮ Metric Diophantine approximation on homogeneous varieties ⋮ The error term in Nevanlinna theory ⋮ Rational approximation to surfaces defined by polynomials in one variable ⋮ Transcendental numbers and diophantine approximations ⋮ Indépendance algébrique des valeurs de la fonction exponentielle ⋮ Effective results for division points on curves in \(\mathbb{G}_m^2\) ⋮ Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation ⋮ Discrepancy of rational points in simple algebraic groups ⋮ Ergodic theory and the duality principle on homogeneous spaces ⋮ Stable polynomials and crystalline measures ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Sequences of diophantine approximations ⋮ The error term in Nevanlinna theory. II ⋮ Quantitative rational approximation on spheres

Cites Work

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• Algebraic values of meromorphic functions
• Transcendental points on group varieties
• A Metrical Theorem in Diophantine Approximation
• Asymptotic Approximations to Quadratic Irrationalities, I
• Diophantine Approximations on Toruses
• Metrical Theorems on Fractional Parts of Sequences

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