Vincent Pigno

collaborators

2 papers

math.NT2018

The Lind-Lehmer Constant for $Z_{2}^{r} \times Z_{4}^{s}$

Michael J. Mossinghoff, Vincent Pigno, Christopher Pinner

We show that the minimal positive logarithmic Lind-Mahler measure for a group of the form $G = Z_{2}^{r} \times Z_{4}^{s}$ with $∣ G ∣ \geq 4$ is $\frac{1}{∣ G ∣} lo g (∣ G ∣ - 1) .$ We…

math.NT2018

A generalization of the Goresky-Klapper conjecture, Part I

Badria Alsulmi, Todd Cochrane, Michael J. Mossinghoff +4

For a fixed integer $n \geq 2,$ we show that a permutation of the least residues mod $p$ of the form $f (x) = A x^{k}$ mod $p$ cannot map a residue class mod $n$ to just one residue class…

The Lind-Lehmer Constant for Z2r​×Z4s​

A generalization of the Goresky-Klapper conjecture, Part I

The Lind-Lehmer Constant for $Z_{2}^{r} \times Z_{4}^{s}$