January 1, 2013Acta ArithmeticaOpen Access

On R. Chapman's ``evil determinant'': case p≡1±od4

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Abstract

For p≡ 1\ ( mod\,4), we prove the formula (conjectured by R. Chapman) for the determinant of the p+1/2× p+1/2 matrix C=(Cᵢⱼ) with Cᵢⱼ= ()1j-ip.

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Maxim Vsemirnov (2013) studied this question.

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For p≡ 1\ ( mod\,4), we prove the formula (conjectured by R. Chapman) for the determinant of the p+1/2× p+1/2 matrix C=(Cᵢⱼ) with Cᵢⱼ= ()1j-ip.