Exponents of Diophantine approximation
Yann Bugeaud, Michel Laurent
TL;DR
This survey paper reviews recent advances in Diophantine approximation, focusing on the properties of exponents that quantify different aspects of how real numbers can be approximated by rationals.
Contribution
It compiles and discusses recent results on exponents in Diophantine approximation, highlighting their properties and significance.
Findings
Summarizes key recent results in the field.
Highlights the importance of exponents in understanding approximation properties.
Provides an overview of current research directions.
Abstract
The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Algebraic Geometry and Number Theory