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Two-color Markoff graph and minimal forms

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Publication:2805972
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DOI10.1142/S1793042116500676zbMath1415.11091MaRDI QIDQ2805972

Benoît Rittaud, Ryuji Abe, I. R. Aitchison

Publication date: 13 May 2016

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


zbMATH Keywords

binary quadratic formsplanar graphsonce punctured torusarithmetic groupsDiophantine equations


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Other combinatorial number theory (11B75) Markov and Lagrange spectra and generalizations (11J06) Minima of forms (11H50)


Related Items (4)

Diophantine approximation on conics ⋮ On palindromes with three or four letters associated to the Markoff spectrum ⋮ Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum ⋮ Symmetry of topographs of Markoff forms



Cites Work

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  • Minimum of quadratic forms with respect to Fuchsian groups. I.
  • On correspondences between once punctured tori and closed tori: Fricke groups and real lattices


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