Dedekind sums and generalizations of the Markov Diophantine equation

DOI10.1006/jnth.2001.2745zbMath1098.11021OpenAlexW2076140116MaRDI QIDQ700194

Serge Perrine

Publication date: 30 September 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2745

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Cubic and quartic Diophantine equations (11D25) Markov and Lagrange spectra and generalizations (11J06)

Related Items

Composition laws on the Fricke surface and Markov triples

Cites Work

• On semi-regular finite continued fractions
• Markoff forms and primitive words
• An exact determination of serial correlations of pseudo-random numbers
• Higher dimensional Dedekind sums
• Approach to Markoff's minimal forms through modular functions
• THE MARKOV NUMBERS AND EXCEPTIONAL BUNDLES ON P²
• Geometry of Riemann surfaces based on closed geodesics
• Markoff numbers, principal ideals and continued fraction expansions
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