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math.NT2012
Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers
Gary Greaves, Graeme Taylor
We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahl…
math.NT2012
Small-span Hermitian matrices over quadratic integer rings
Gary Greaves
Building on the classification of all characteristic polynomials of integer symmetric matrices having small span (span less than 4), we obtain a classification of small-span polyno…
math.NT2012★ 7 cited
Cyclotomic matrices over real quadratic integer rings
Gary Greaves
We classify all cyclotomic matrices over real quadratic integer rings and we show that this classification is the same as classifying cyclotomic matrices over the compositum all re…