Markov and Lagrange spectra (survey of the literature)
type: Item
instance of: scholarly article
title: Markov and Lagrange spectra (survey of the literature)
zbMATH Open document ID: 0453.10031
DOI: 10.1007/BF01213889
author: A. V. Malyshev
published in: Journal of Soviet Mathematics
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 11H50
Mathematics Subject Classification ID: 11J04
Mathematics Subject Classification ID: 11J70
Mathematics Subject Classification ID: 11-02
zbMATH DE Number: 3708514
zbMATH Keywords: Bibliography
zbMATH Keywords: minima of indeterminate binary quadratic forms
zbMATH Keywords: Markov spectrum
zbMATH Keywords: Lagrange spectrum
zbMATH Keywords: bibliography
MaRDI profile type: Publication
cites work: More numerical evidence on the uniqueness of Markov Numbers
cites work: The Markoff chain
cites work: Über einen Perronschen Satz
cites work: Q3241280
cites work: Approach to Markoff's minimal forms through modular functions
cites work: Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
cites work: Markoff forms and primitive words
cites work: Sums and Products of Continued Fractions
cites work: On M. Hall's Continued Fraction Theorem
cites work: The largest gaps in the lower Markoff spectrum
cites work: The connection between the Lagrange and Markoff spectra
cites work: Sums of Sets of Continued Fractions
cites work: ON THE MINIMUM OF A BILINEAR FORM
cites work: THE MINIMUM OF AN INDEFINITE BINARY QUADRATIC FORM
cites work: Quadratic Irrationals in the Lower Lagrange Spectrum
cites work: On the sums of continued fractions
cites work: On the lower Markov spectrum
cites work: On the sum and product of continued fractions
cites work: The minima of indefinite binary quadratic forms
cites work: Diophantische Approximationen in imaginär quadratischen Zahlkörpern
cites work: Note on the Minimum of an Indefinite Binary Quadratic Form
cites work: The Hausdorff-Besicovich Dimension of the Level Sets of Person's Modular Function
cites work: On the Lower Range of Perron's Modular Function
cites work: Q5595275
cites work: One-sided minima of indefinite binary quadratic forms and one-sided diophantine approximations
cites work: Diophantische Approximationen in imaginären quadratischen Zahlkörpern, insbesondere im Körper \(K(i\sqrt 2)\)
cites work: Sur l'approximation des nombres complexes par les nombres des corps imaginaires quadratiques dénués d'idéaux non principaux particulièrement lorsque vaut l'algorithme d'Euclide
cites work: Diophantine Approximation and Horocyclic Groups
cites work: Some Numerical Evidence Concerning the Uniqueness of the Markov Numbers
cites work: Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichung \(x^2+y^2+z^2=xyz\).
cites work: The Uniqueness of the Markoff Numbers
cites work: Über die Menge der Zahlen, die als Minima quadratischer Formen auftreten
cites work: Farey Triangles and Farey Quadrangels in the Complex Plane.
cites work: Farey Simplices in the Space of Quaternions.
cites work: On the Approximation of Quaternions.
cites work: Diophantine approximation of complex numbers
cites work: On c-minimal forms
cites work: Minimum of quadratic forms with respect to Fuchsian groups. II.
cites work: Q3255468
cites work: Q3248072
cites work: Q5789047
cites work: Q3286420
cites work: Q3244174
cites work: Noncoincidence of the Markov and Lagrange spectra
description: scientific article; zbMATH DE number 3708514