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math.NT2022
On geometry of simultaneous approximation to three real numbers
Antoine Marnat, Nikolay Moshchevitin
Considering simultaneous approximation to three numbers, we study the geometry of the sequence of best approximations. We provide a sharper lower bound for the ratio between ordina…
math.NT2022★ 3 cited
Diophantine sets and Dirichlet improvability
Antoine Marnat
This note pushes further the discussion about relations between Dirichlet improvable, badly approximable and singular points held in recent joint work with Beresnevich, Guan, Velan…