ACHIEVEMENTS AND PROBLEMS IN DIOPHANTINE APPROXIMATION THEORY

DOI10.1070/RM1980v035n04ABEH001861zbMath0463.10020MaRDI QIDQ3912664

Vladimir G. Sprindzhuk

Publication date: 1980

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

bibliographyclass numbergreatest prime divisorsimultaneous approximationsMahler's classificationapproximation of algebraic numbers by rationalsequations of hyperelliptic typemetrical theory of transcendental numbersalgebraic-exponential equationsarithmetic structure of polynomialseffective improvements of Liouville's inequalityestimate of linear forms in logarithms of algebraic numbersmetrical theory of approximation on manifoldsnumbers with given type of approximationp-adic metricssquare-free divisorsternary exponential equationsThue and Thue-Mahler equations

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Iwasawa theory (11R23) Diophantine approximation in probabilistic number theory (11K60) Diophantine equations (11Dxx) Diophantine approximation, transcendental number theory (11Jxx)

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