Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\)
The author continues his successful generalization of the geometric approach of L.~R.~Ford to determine initial portions of the Lagrange and Markoff spectra of imaginary quadratic fields. The author's approach is to use his Farey polygons associated to the appropriate Bianchi group to reduce the problem to studying the (discrete part of the) Markoff spectrum of one of its maximal Fuchsian subgroups.
scientific article; zbMATH DE number 6148883
scientific article