5 citations · 11 across the 4 of their papers we have counts for
4 papers
About the congruence
José María Grau, Antonio M. Oller-Marcén
In this paper we characterize, in terms of the prime divisors of , the pairs for which divides . As an application, we study the sets $\mathcal{M…
The -belos
Antonio M. Oller-Marcén
The \emph{arbelos} is the shape bounded by three mutually tangent semicircles with collinear diameters. Recently, Sondow introduced the parabolic analog, the \emph{parbelos} and pr…
Generalizing Giuga's conjecture
José María Grau, Antonio M. Oller-Marcén
In 1950 G. Giuga studied the congruence (mod ) and conjectured that it was only satisfied by prime numbers. In this work we generalize Giuga…
Giuga Numbers and the arithmetic derivative
José María Grau, Antonio M. Oller-Marcén
We characterize Giuga Numbers as solutions to the equation , with and being the arithmetic derivative. Although this fact does not refute Lava's co…