J. Grau

activity

20102025

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

9 citations · 36 across the 31 of their papers we have counts for

collaborators

Showing 2016 · math.NTShow all

2 papers · 2 filters

math.NT2016

Fast computation of the number of solutions to $x_{1}^{2} + \dots + x_{k}^{2} \equiv λ (mod n)$

Jose Maria Grau, A. Oller-marcen

In this paper we study the multiplicative function $ρ_{k, λ} (n)$ that counts the number of incongruent solutions of the equation $x_{1}^{2} + \dots + x_{k}^{2} \equiv λ (mod n)$ . In particular…

math.NT2016

Computing solutions to the congruence $1^{n} + 2^{n} + \dots + n^{n} \equiv p (mod n)$

Max Alekseyev, Jose Maria Grau, Amtonio Oller-Marcen

It is well-known that the congruence $\sum_{i = 1}^{n} i^{n} \equiv 1 (mod n)$ has exactly five solutions: ${1, 2, 6, 42, 1806}$ . In this work, we characterize the solutions to the…

Fast computation of the number of solutions to x12​+⋯+xk2​≡λ(modn)

Computing solutions to the congruence 1n+2n+⋯+nn≡p(modn)

Fast computation of the number of solutions to $x_{1}^{2} + \dots + x_{k}^{2} \equiv λ (mod n)$

Computing solutions to the congruence $1^{n} + 2^{n} + \dots + n^{n} \equiv p (mod n)$