G. Taylor

most citedCyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields

9 citations · 9 across the 2 of their papers we have counts for

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2011

Lehmer's conjecture for matrices over the ring of integers of some imaginary quadratic fields

G. Taylor

Let $R=\mathcal{O}_{\Q(\sqrt{d})}$ for $d < 0$ , squarefree, $d \neq = - 1, - 3$ . We prove Lehmer's conjecture for associated reciprocal polynomials of $R$ -matrices; that is, any noncycloto…

math.NT2010★ 9 cited

Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields

Graeme Taylor

We determine all Hermitian $\mathcal{O}_{\Q(\sqrt{d})}$-matrices for which every eigenvalue is in the interval [-2,2], for each d in {-2,-7,-11,-15\}. To do so, we generalise charg…