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math.NT2026
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…
math.NT2010★ 2 cited
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…