A. M. Oller-Marcén

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20112013

most citedGeneralizing Giuga's conjecture

5 citations · 11 across the 4 of their papers we have counts for

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math.NT2011★ 5 cited

Generalizing Giuga's conjecture

José María Grau, Antonio M. Oller-Marcén

In 1950 G. Giuga studied the congruence $\sum_{j = 1}^{n - 1} j^{n - 1} \equiv - 1$ (mod $n$ ) and conjectured that it was only satisfied by prime numbers. In this work we generalize Giuga…

math.NT2011★ 5 cited

Giuga Numbers and the arithmetic derivative

José María Grau, Antonio M. Oller-Marcén

We characterize Giuga Numbers as solutions to the equation $n^{'} = an + 1$ , with $a \in N$ and $n^{'}$ being the arithmetic derivative. Although this fact does not refute Lava's co…