
doi: 10.1090/suga/463
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.
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
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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