scientific article; zbMATH DE number 7121007

zbMath1435.11089MaRDI QIDQ5239724

Alexander D. Bruno

Publication date: 22 October 2019

Full work available at URL: http://mathnet.ru/eng/cheb496

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fundamental domainDiophantine equationDiophantine approximationsgeneralization of continued fractionset of fundamental units

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items

Unnamed Item, Unnamed Item, Computation of the fundamental units of number rings using a generalized continued fraction

Uses Software

• Qhull

Cites Work

• Computation of the best Diophantine approximations and of fundamental units of algebraic fields
• The structure of multidimensional Diophantine approximations
• New generalization of continued fraction. I
• The quickhull algorithm for convex hulls
• Calculation of fundamental units of number rings by means of the generalized continued fraction
• Exact algorithms and software in optimization and polyhedral computation
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