Michael J. Mossinghoff

activity

20052026

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25 citations · 47 across the 19 of their papers we have counts for

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Showing 2018Show all

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math.NT2018★ 1 cited

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 II

Todd Cochrane, Michael J. Mossinghoff, Chris Pinner +1

Suppose that $f (x) = A x^{k}$ mod $p$ is a permutation of the least residues mod $p$ . With the exception of the maps $f (x) = A x$ and $A x^{(p + 1) /2}$ mod $p$ we show that for fixed $n\geq 2…

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 II

A generalization of the Goresky-Klapper conjecture, Part I

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