A. M. Oller-Marcén

activity

20112022

most citedGiuga Numbers and the arithmetic derivative

5 citations · 13 across the 12 of their papers we have counts for

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2 papers · 1 filter

math.NT2013

On the congruence $\sum_{j = 1}^{n - 1} j^{k (n - 1)} \equiv - 1 (mod n)$ . k-strong Giuga and k-Carmichael numbers

Antonio M. Oller-Marcén, José María Grau

In this work we consider the congruence $\sum_{j = 1}^{n - 1} j^{k (n - 1)} \equiv - 1 (mod n)$ for each $k \in N$ , thus extending Giuga's ideas for $k = 1$ . In particular, it is pr…

math.NT2013★ 1 cited

About the congruence $\sum_{k = 1}^{n} k^{f (n)} \equiv 0 (mod n)$

José María Grau, Antonio M. Oller-Marcén

In this paper we characterize, in terms of the prime divisors of $n$ , the pairs $(k, n)$ for which $n$ divides $\sum_{j = 1}^{n} j^{k}$ . As an application, we study the sets $\mathcal{M…

On the congruence ∑j=1n−1​jk(n−1)≡−1(modn). k-strong Giuga and k-Carmichael numbers

About the congruence ∑k=1n​kf(n)≡0(mod n)

On the congruence $\sum_{j = 1}^{n - 1} j^{k (n - 1)} \equiv - 1 (mod n)$ . k-strong Giuga and k-Carmichael numbers

About the congruence $\sum_{k = 1}^{n} k^{f (n)} \equiv 0 (mod n)$