On rational approximations of algebraic numbers of higher orders and certain parametrization for generalized Pell's equations
Number Theory
2011-03-31 v1
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.
Keywords
Cite
@article{arxiv.1103.5772,
title = {On rational approximations of algebraic numbers of higher orders and certain parametrization for generalized Pell's equations},
author = {Roman Zatorsky},
journal= {arXiv preprint arXiv:1103.5772},
year = {2011}
}
Comments
30 pages, in Russian