A. Oller-Marcén

activity

20082025

most citedOn the diameter of the commuting graph of the full matrix ring over the real numbers

9 citations · 26 across the 23 of their papers we have counts for

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Showing 2013 · math.NTShow all

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math.NT2013★ 5 cited

On the congruence $1^{m} + 2^{m} + \dots + m^{m} \equiv n (mod m)$ with $n ∣ m$

José María Grau, Antonio M. Oller-Marcén, Jonathan Sondow

We show that if the congruence above holds and $n ∣ m$ , then the quotient $Q := m / n$ satisfies $\sum_{p ∣ Q} \frac{Q}{p} + 1 \equiv 0 (mod Q)$ , where $p$ is prime. The only known s…

On the congruence 1m+2m+⋯+mm≡n(modm) with n∣m

On the congruence $1^{m} + 2^{m} + \dots + m^{m} \equiv n (mod m)$ with $n ∣ m$