scientific article

zbMath0523.10008MaRDI QIDQ3674747

Vladimir G. Sprindzhuk

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Runge theoremBrauer-Siegel theorempolynomial equationThue equationMordell equationCatalan equationlinear forms in logarithms of algebraic numbersAbelian points on algebraic curvesBaker-Coates theoryeffective strengthening of Liouville inequalityeffective variants of Hilbert on irreducibility of polynomialsfiniteness of number of solutionsnon-Archimedean metricsrational approximations to algebraic numbersrepresentation of numbers by binary formssize of ideal class groupsmall regulatorp-adic casesolutions of Thue equation in S-integersupper bounds for solutions of diophantine equation

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class numbers, class groups, discriminants (11R29) Cubic and quartic Diophantine equations (11D25) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68) Representation problems (11D85) Multiplicative and norm form equations (11D57) Approximation in non-Archimedean valuations (11J61) (p)-adic and power series fields (11D88) Diophantine equations (11Dxx) Diophantine approximation, transcendental number theory (11Jxx)

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