Effective approximation and Diophantine applications

DOI10.4064/aa8430-9-2016zbMath1420.11064arXiv1601.02243OpenAlexW2236211560MaRDI QIDQ2957236

Gabriel A. Dill

Publication date: 25 January 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02243

zbMATH Keywords

Diophantine approximationcounting solutions of Diophantine equationseffective irrationality measuresThue-Siegel methodpolynomial bounds for parametrized Thue equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Higher degree equations; Fermat's equation (11D41) Approximation to algebraic numbers (11J68) Multiplicative and norm form equations (11D57)

Cites Work

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• On Thue's equation
• On the Thue-Siegel-Dyson theorem
• The approximation to algebraic numbers by rationals
• A Note on the Class-Numbers of Algebraic Number Fields
• Rational approximations to algebraic numbers

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