On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves

DOI10.1007/s10958-017-3404-6zbMath1405.11096arXiv1608.00873OpenAlexW3105321958MaRDI QIDQ2406873

Anna Gusakova, Vasilii Bernik, Friedrich Götze

Publication date: 4 October 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00873

zbMATH Keywords

heightbounded degreealgebraic points

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Approximation to algebraic numbers (11J68)

Cites Work

• On algebraic points in the plane near smooth curves
• Diophantine approximation
• On points with algebraically conjugate coordinates close to smooth curves
• Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan
• Diophantine approximation on planar curves: the convergence theory
• An inequality for the discriminant of a polynomial
• Применение размерностн Хаусдорфа в теории диофантовых приближений
• Distribution of real algebraic numbers of arbitrary degree in short intervals
• Approximation of certain transcendental numbers. I The aproximation of logarithms of algebraic numbers
• Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen
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