Open Access
December 2012 Diophantine approximation in $\mathbf{Q}(\sqrt{-30})$, $\mathbf{Q}(\sqrt{-33})$ and $\mathbf{Q}(\sqrt{-57})$
L. Ya. Vulakh
Funct. Approx. Comment. Math. 47(2): 183-205 (December 2012). DOI: 10.7169/facm/2012.47.2.5


For the imaginary quadratic fields with discriminants -120, -132 and -248, the first three, five and two points of the Lagrange and Markov spectra respectively are found.


Download Citation

L. Ya. Vulakh. "Diophantine approximation in $\mathbf{Q}(\sqrt{-30})$, $\mathbf{Q}(\sqrt{-33})$ and $\mathbf{Q}(\sqrt{-57})$." Funct. Approx. Comment. Math. 47 (2) 183 - 205, December 2012.


Published: December 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1091.11026
MathSciNet: MR3051448
Digital Object Identifier: 10.7169/facm/2012.47.2.5

Primary: 11J06
Secondary: 11F06

Keywords: Bianchi groups , diophantine approximation , hyperbolic geometry

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.47 • No. 2 • December 2012
Back to Top