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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
Inhomogeneous Diophantine approximation with a fixed irrational number
Speaker
김동한   (동국대 )
Date
2017-05-18 14:45:00
Host
SNU
Place
129-406
Abstract
Fix an irrational number θ
θ
.
We consider the set of points y
y
such that ∥nθ−y∥<φ(n)
‖nθ−y‖<φ(n)
with general monotone error
functions φ(n)
φ(n)
.
We give an necessary and sufficient condition for the set has full Lebesgue measure and calculate the Hausdorff dimension.
We also consider uniform approximation with an error function φ(n)=n^{−τ}
φ(n)=n−τ
.
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