Paratrophic determinants over Z/NZ factor via discrete Fourier transforms into products of group determinants for d dividing N, giving explicit formulas for Bernoulli and tangent cases and correcting a conjecture.
Steinberg,Factoring the Dedekind–Frobenius determinant of a semigroup, J
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Paratrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier Transform
Paratrophic determinants over Z/NZ factor via discrete Fourier transforms into products of group determinants for d dividing N, giving explicit formulas for Bernoulli and tangent cases and correcting a conjecture.