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

Roman Zatorsky

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arXiv · 1103.5772

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

Roman Zatorsky

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Abstract

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.

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Roman Zatorsky. 2011-03-29. On rational approximations of algebraic numbers of higher orders and certain parametrization for generalized Pell's equations. https://arxiv.org/abs/1103.5772

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