Todd Cochrane

collaborators

2 papers

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…