On indefinite binary quadratic forms.

DOI10.1007/BF01446234zbMATH Open12.0143.02OpenAlexW2062868118WikidataQ60680439 ScholiaQ60680439MaRDI QIDQ5969583

Andrey Markov

Publication date: 1880

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156934

zbMATH Keywords

continued fractionMarkov equationIndefinite binary quadratic formminimum of the form

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Continued fractions (11A55) Cubic and quartic Diophantine equations (11D25) Markov and Lagrange spectra and generalizations (11J06) Minima of forms (11H50) General binary quadratic forms (11E16)

Related Items (12)

Smooth limits of plane curves of prime degree and Markov numbers ⋮ New gaps on the Lagrange and Markov spectra ⋮ Orbits on K3 Surfaces of Markoff Type ⋮ A function containing all Lagrange numbers less than three ⋮ On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\) ⋮ Equal-sum-product problem II ⋮ On Markoff type surfaces over number fields and the arithmetic of Markoff numbers ⋮ Stokes matrices and exceptional isomorphisms ⋮ On a theorem of Borel on Diophantine approximation ⋮ Oriented posets, rank matrices and \(q\)-deformed Markov numbers ⋮ Packing theory derived from phyllotaxis and products of linear forms ⋮ Continuity of the \(j\)-function on the Markov tree

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