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Local asymptotic Diophantine approximations

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Speaker: 
Zhizhong Huang
Affiliation: 
Université Grenoble Alpes/MPIM
Date: 
Wed, 25/04/2018 - 16:30 - 17:30
Location: 
MPIM Lecture Hall

The irrationality measure of a real number characterizes its Diophantine approximation property. The problem of counting the number of approximates to a given real number with respect to certain approximation order has been considered by a number of authors such as S. Lang, W. Adams,... We propose a local version of this problem and show that in certain cases the approximates are uniformly distributed, by using standard tools from analytic number theory.

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