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zbMATH Open
Article . 2021
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Diophantine approximation

Authors: Hirata-Kohno, Noriko;

Diophantine approximation

Abstract

This article gives an introductory survey of recent progress on Diophantine problems, especially consequences coming from Schmidt’s subspace theorem, Baker’s transcendence method and Padé approximation. We present fundamental properties around Diophantine approximation and how it yields results in number theory.

Keywords

Schmidt's subspace theorem, Irrationality; linear independence over a field, Baker's transcendence method, Diophantine approximation, Research exposition (monographs, survey articles) pertaining to number theory, Approximation to algebraic numbers, Transcendence theory of elliptic and abelian functions, Schmidt Subspace Theorem and applications, Linear forms in logarithms; Baker's method

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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