R. Tomas

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2018

Farey determinants matrix

Rogelio Tomas

A new matrix operation based on inserting columns and rows, similarly to the mediant operation between fractions, gives rise to the Farey determinants matrix or, equivalently, the…

math.NT2018★ 1 cited

Partial Franel sums

Rogelio Tomas

Analytical expressions are derived for the position of irreducible fractions in the Farey sequence $F_{N}$ of order $N$ for a particular choice of $N$ . The asymptotic behaviour is de…

math.NT2014

Asymptotic behavior of a series of Euler's totient function $φ (k)$ times the index of $1/ k$ in a Farey sequence

R. Tomas

Motivated by studies in accelerator physics this paper computes the asymptotic behavior of the series $k = 1 \sum N φ (k) I_{N} (\frac{1}{k})$ , where $φ (k)$ is…

Farey determinants matrix

Partial Franel sums

Asymptotic behavior of a series of Euler's totient function φ(k) times the index of 1/k in a Farey sequence

Asymptotic behavior of a series of Euler's totient function $φ (k)$ times the index of $1/ k$ in a Farey sequence