Harold S. Erazo

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20242026

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math.NT2025

Generalized Hausdorff dimension of irrationals with Lagrange value exactly 3

Carlos Gustavo Moreira, Harold Erazo, Nicolas Angelini

We study the generalized Hausdorff dimension of some natural subsets of $k^{- 1} (3)$ , where $k^{- 1} (3)$ consists of the real numbers $x$ for which $\left| x-\frac{p}{q} \right|<\fra…

math.NT2025

On irrationals with Lagrange value exactly 3

Zhe Cao, Harold Erazo, Carlos Gustavo Moreira

For $c > 0$ , let $X_{c}$ denote the set of $x \in R \ Q$ such that $x - \frac{p}{q} < \frac{1}{c q ^{2}}$ has only finitely many rational solutions $\frac…