F. Argentieri

activity

20202026

most citedIsolated points of Diophantine sets

1 citations · 1 across the 6 of their papers we have counts for

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math.DS2020

Diophantine sets in general are Cantor sets

Fernando Argentieri

Let $γ \in (0; \frac{1}{2}), τ \geq 1$ and define the " $γ, τ$ Diophantine set" as: $$D_{γ,τ}:=\{α\in (0;1): ||qα||\geq\fracγ{q^τ}\quad\forall q\in\Bbb{N}\},\qquad||x||:=\inf_{p\in\Bbb{Z}…

math.NT2020★ 1 cited

Isolated points of Diophantine sets

Fernando Argentieri

Let $γ \in (0; \frac{1}{2}), τ \geq 1$ and define the " $γ, τ$ Diophantine set" as: $$D_{γ, τ}:=\{α\in (0;1): ||qα||\geq\fracγ{q^τ}\quad\forall q\in\Bbb{N}\},\qquad ||x||:=\inf_{p\in\Bbb{…