2 citations · 3 across the 3 of their papers we have counts for
3 papers
A Divisor Parametrization for the Erdős--Straus Conjecture
M. Bello-Hernández, M. Benito, E. Fernández
We study representations of \(1/n\) as a sum of three unit fractions whose denominators are all divisible by a prescribed integer \(m\). After scaling, this is equivalent to repres…
Fray Juan de Ortega's approximations, 500 years after
Manuel Benito, Jose Javier Escribano, Emilio Fernández +1
In 1512, on December 30, the first edition of Fray Juan de Ortega's Arithmetic was published in Lyon. The last chapter, titled "Rules of Geometry", deals with lower approximations…
On Egyptian fractions
Manuel Bello-Hernández, Manuel Benito, Emilio Fernández
We find a polynomial in three variables whose values at nonnegative integers satisfy the Erdős-Straus Conjecture. Although the perfect squares are not covered by these values, it a…