Geometry of Lobachevskii in connection with certain questions of arithmetic

DOI10.1007/BF01213890zbMath0453.10032MaRDI QIDQ1148953

D. S. Gorshkov

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Markov problemLobachevskii geometryminima of binary quadratic forms

Mathematics Subject Classification ID

Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Nonlinear incidence geometry (51B99)

Related Items (8)

Continued fractions and the Markoff tree ⋮ Boundary slopes for the Markov ordering on relatively prime pairs ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ The Markoff theory and the commutator subgroup \( \mathrm{SL} (2, \mathbb Z)'\) ⋮ Lyapunov spectrum of Markov and Euclid trees ⋮ The sum of Lagrange numbers ⋮ Markov numbers, Mather’s β function and stable norm ⋮ Conway topograph, -dynamics and two-valued groups

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