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

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

2011-03-29

arxiv.org/abs/1103.5772v1

Mathematics

Number Theory

30 pages, in Russian

Scientific paper

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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