collaborators

7 papers

math.NT2018

The integer group determinants for the symmetric group of degree four

Christopher Pinner

For the symmetric group we determine all the integer values taken by its group determinant when the matrix entries are integers.

math.NT2018

Integer group determinants for small groups

Christopher Pinner, Christopher Smyth

For every group of order at most 14 we determine the values taken by its group determinant when its variables are integers.

math.NT2018

The Lind-Lehmer Constant for

Michael J. Mossinghoff, Vincent Pigno, Christopher Pinner

We show that the minimal positive logarithmic Lind-Mahler measure for a group of the form with is We…

math.NT2018

A generalization of the Goresky-Klapper conjecture, Part I

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

For a fixed integer we show that a permutation of the least residues mod of the form mod cannot map a residue class mod to just one residue class…

math.NT2018

Minimal group determinants and the Lind-Lehmer problem for dihedral groups

Ton Boerkoel, Christopher Pinner

We find the minimal non-trivial integer variable group determinant for any dihedral group of order less than . We think of this as the Lind-Lehmer problem for t…

math.NT2016

On the inhomogeneous spectrum of period two quadratics

Chris Pinner

We give a complete description of the inhomogeneous spectrum of period two quadratics down to the first limit point.