New generalization of continued fraction. I

DOI10.7169/facm/1285679146zbMath1213.11145OpenAlexW2086721308MaRDI QIDQ1959787

Alexander D. Bruno

Publication date: 12 October 2010

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1285679146

zbMATH Keywords

latticegeneralized continued fractionmodular polyhedron

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70) Diophantine approximation in probabilistic number theory (11K60) Minima of forms (11H50)

Related Items (4)

Computation of the best Diophantine approximations and of fundamental units of algebraic fields ⋮ Unnamed Item ⋮ Computation of the fundamental units of number rings using a generalized continued fraction ⋮ Calculation of fundamental units of number rings by means of the generalized continued fraction

Cites Work

• Comparison of various generalizations of continued fractions
• Higher dimensional continued fractions
• Klein polyhedra for the fourth extremal cubic form
• On the period length of the generalized Lagrange algorithm
• Klein polyhedrals for two cubic Davenport forms
• Klein polyhedra for three extremal cubic forms
• The Jacobi-Perron algorithm its theory and application
• Minimum of a decomposable cubic form of three variables
• An Introduction to the Geometry of Numbers
• Estimating a nonlinear function of a normal mean
• Generalized continued fractions and ergodic theory
• On the product of three homogeneous linear forms
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