Measures with large Fourier l1 dimension satisfy Khinchin-type and Gallagher-type Diophantine laws, giving new approximation and counting results on missing-digit fractals.
Beresnevich, Rational points near manifolds and metric Diophantine approxima- tion, Ann
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Simultaneous and multiplicative Diophantine approximation on missing-digit fractals
Measures with large Fourier l1 dimension satisfy Khinchin-type and Gallagher-type Diophantine laws, giving new approximation and counting results on missing-digit fractals.