Antonio M. Oller‐Marcén

collaborators

2 papers

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.NT2014

Counting invertible sums of squares modulo $n$ and a new generalization of Euler totient function

Catalina Calderon, Jose Maria Grau, A. Oller-Marcen +1

In this paper we introduce and study a family $Φ_{k}$ of arithmetic functions generalizing Euler's totient function. These functions are given by the number of solutions to the equat…

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

Counting invertible sums of squares modulo n and a new generalization of Euler totient function

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

Counting invertible sums of squares modulo $n$ and a new generalization of Euler totient function