On prime factors of determinants of circulant matrices

DOI10.1016/j.laa.2009.07.029zbMath1184.15005OpenAlexW1967627447MaRDI QIDQ1044588

Giovanni Sburlati

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.029

zbMATH Keywords

finite fieldsdeterminantscirculant matrixdivisibilitypolynomials over \(\mathbf Z_p\)

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic field extensions (12F05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite fields (field-theoretic aspects) (12E20) Matrices of integers (15B36)

Related Items (2)

Williamson type Hadamard matrices with circulant components ⋮ Progress on Olga Taussky-Todd's circulant problem

Cites Work

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• How fast can one compute the permanent of circulant matrices?
• On the number of different permanents of some sparse (0,1)-circulant matrices.
• Computation of sparse circulant permanents via determinants
• On the parity of permanents of circulant matrices
• On the values of permanents of (0, 1) circulant matrices with three ones per row

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