Metric Diophantine Approximation: aspects of recent work

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In these notes, we begin by recalling aspects of the classical theory of metric Diophantine approximation; such as theorems of Khintchine, Jarnik, Duffin-Schaeffer and Gallagher. We then describe recent strengthening of various classical statements as well as recent developments in the area of Diophantine approximation on manifolds. The latter includes the well approximable, the badly approximable and the inhomogeneous aspects.
Original languageEnglish
Title of host publicationDynamics and Analytic Number Theory
EditorsD. Badziahin, A. Gorodnik, N. Peyerimhoff
PublisherCambridge University Press
ISBN (Print)9781107552371
Publication statusPublished - Jan 2017

Publication series

NameLondon Mathematical Society Lecture Note Series
PublisherCambridge University Press
ISSN (Print)0076-0552

Bibliographical note

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