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math.NT2024
Diophantine approximation and the Mass Transference Principle: incorporating the unbounded setup
Bing Li, Lingmin Liao, Baowei Wnag +2
We develop the Mass Transference Principle for rectangles of Wang \& Wu (Math. Ann. 2021) to incorporate the `unbounded' setup; that is, when along some direction the lower order (…
math.NT2024
Inhomogeneous Diophantine Approximation on -sets
Volodymyr Pavlenkov, Evgeniy Zorin
We prove new quantitative Schmidt-type theorem for Diophantine approximations with restraint denominators on fractals (more precisely, on -sets). Our theorems introduce a shar…