Introduction to Diophantine Approximation

In this article we formalize some results of Diophantine approximation, i.e. the approximation of an irrational number by rationals. A typical example is finding an integer solution (x, y) of the inequality |xθ − y| ≤ 1/x, where 0 is a real number. First, we formalize some lemmas about continued fra...

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Bibliographic Details
Main Author: Watase Yasushige
Format: Article
Language:English
Published: Sciendo 2015-06-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2015-0010