On the history of estimates of the constant of the best joint diophanite approximations

DOI10.22405/2226-8383-2018-19-2-389-406zbMath1434.11001OpenAlexW4241960563MaRDI QIDQ5109661

Yuriĭ Aleksandrovich Basalov

Publication date: 13 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb662

zbMATH Keywords

star bodieshistory of mathematicsgeometry of numbersbest joint Diophantine approximationscritical determinants

Mathematics Subject Classification ID

History of number theory (11-03) Approximation by numbers from a fixed field (11J17)

Cites Work

• Structure of best Diophantine approximations
• Generalized continued fraction algorithm
• Estimates for \(n\)-dimensional diophantine approximation constants for \(n\ge 4\)
• The best two-dimensional diophantine approximation constant for cubic irrationals
• Estimates for Diophantine approximation constants
• A note on simultaneous Diophantine approximation
• The asymmetric product of three homogeneous linear forms
• The two-dimensional Diophantine approximation constant. II
• Simultaneous diophantine approximations and cubic irrationals
• A 3-dimensional periodic Jacobi-Perron algorithm of period length 8
• A database of number fields
• The minimum discriminants of quintic fields
• The n-dimensional approximation constatant
• The N-dimensional diophantine approximation constants
• Blichfeldt's Theorem and Simultaneous Diophantine Approximation
• Simultaneous Diophantine Approximation
• On a Theorem of Furtwängler
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