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Diophantine approximation and Cantor sets

Authors :
Yann Bugeaud
Source :
Mathematische Annalen. 341:677-684
Publication Year :
2008
Publisher :
Springer Science and Business Media LLC, 2008.

Abstract

We provide an explicit construction of elements of the middle third Cantor set with any prescribed irrationality exponent. This answers a question posed by Kurt Mahler.

Subjects

Subjects :
Discrete mathematics
Cantor's theorem
Mathematics::Dynamical Systems
Mathematics::Number Theory
General Mathematics
Irrationality
Cantor function
Diophantine approximation
Cantor set
symbols.namesake
symbols
Exponent
Cantor's paradox
Cantor's diagonal argument
Mathematics

Details

ISSN :
14321807 and 00255831
Volume :
341
Database :
OpenAIRE
Journal :
Mathematische Annalen
Accession number :
edsair.doi...........bfcdadfbc5619b026e02b41348438ddb
Full Text :
https://doi.org/10.1007/s00208-008-0209-4
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