Christopher G. Pinner

activity

20162021

most citedInteger circulant determinants of order 15

5 citations · 5 across the 2 of their papers we have counts for

collaborators

Showing math.NTShow all

10 papers · 1 filter

math.NT2021

The Integer group determinants for the Heisenberg group of order $p^{3}$

Michael J. Mossinghoff, Christopher Pinner

We establish a congruence satisfied by the integer group determinants for the non-abelian Heisenberg group of order $p^{3}$ . We characterize all determinant values coprime to $p$ , gi…

math.NT2021★ 5 cited

Integer circulant determinants of order 15

Bishnu Paudel, Chris Pinner

We consider the values taken by $n \times n$ circulant determinants with integer entries when $n$ is the product of two distinct odd primes $p, q$ . These correspond to the integer gr…

math.NT2021

Minimal Group Determinants For Dicyclic Groups

Bishnu Paudel, Chris Pinner

We determine the minimal non-trivial integer group determinant for the dicyclic group of order $4 n$ when $n$ is odd. We also discuss the set of all integer group determinants for t…

math.NT2018

The integer group determinants for the symmetric group of degree four

Christopher Pinner

For the symmetric group $S_{4}$ 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 $Z_{2}^{r} \times Z_{4}^{s}$

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…

The Integer group determinants for the Heisenberg group of order p3

Integer circulant determinants of order 15

Minimal Group Determinants For Dicyclic Groups

The integer group determinants for the symmetric group of degree four

Integer group determinants for small groups

The Lind-Lehmer Constant for Z2r​×Z4s​

The Integer group determinants for the Heisenberg group of order $p^{3}$

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