Carlos Matheus

most cited

H D (M ∖ L) > 0.353

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2024

inf(M \ L)=3

Harold Erazo, Davi Lima, Carlos Matheus +2

The Lagrange and Markov spectra $L$ and $M$ describe the best constants of Diophantine approximations for irrational numbers and binary quadratic forms. In 1880, A. Markov showed t…

math.DS2017

$H D (M ∖ L) < 0.986927$

Carlos Matheus, Carlos Gustavo Moreira

We show that several portions of the complement $M ∖ L$ of the Lagrange spectrum $L$ in the Markov spectrum $M$ can be seen as subsets of arithmetic sums of Cantor sets with…

math.DS2017★ 1 cited

$H D (M ∖ L) > 0.353$

Carlos Matheus, Carlos Gustavo Moreira

The complement $M ∖ L$ of the Lagrange spectrum $L$ in the Markov spectrum $M$ was studied by many authors (including Freiman, Berstein, Cusick and Flahive). After their wor…

inf(M \ L)=3

HD(M∖L)<0.986927

HD(M∖L)>0.353

$H D (M ∖ L) < 0.986927$

$H D (M ∖ L) > 0.353$