On simultaneous approximation to powers of a real number by rational numbers

DOI10.1016/J.JNT.2014.07.007zbMath1387.11039OpenAlexW2083381022WikidataQ114157518 ScholiaQ114157518MaRDI QIDQ472826

Gantsooj Batzaya

Publication date: 20 November 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.07.007

zbMATH Keywords

simultaneous approximationuniform exponent

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (2)

On simultaneous approximation to powers of a real number by rational numbers. II. ⋮ Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

Cites Work

• Simultaneous rational approximation to the successive powers of a real number
• On simultaneous rational approximations to a real number, its square, and its cube
• Approximation to real numbers by cubic algebraic integers I
• Simultaneous approximation to a real number and to its cube by rational numbers
• Approximation to real numbers by algebraic integers

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