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arXiv:1103.5772 [math.NT]AbstractReferencesReviewsResources

On rational approximations of algebraic numbers of higher orders and certain parametrization for generalized Pell's equations

Roman Zatorsky

Published 2011-03-29Version 1

A new algebraic object is introduced - recurrent fractions, which is an n-dimensional generalization of continued fractions. It is used to describe an algorithm for rational approximations of algebraic irrational numbers. Some parametrization for generalized Pell's equations is constructed.

Comments: 30 pages, in Russian
Categories: math.NT
Subjects: 11A55, 11J70
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