The combinatorics of a three-line circulant determinant

DOI10.1007/BF02803496zbMath1072.15009arXivmath/0312350OpenAlexW1968854272MaRDI QIDQ1766468

Herbert S. Wilf, Nicholas A. Loehr, Gregory S. Warrington

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312350

zbMATH Keywords

root of unitydeterminantcirculant matrixlens space

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (12)

SIGNATURE PAIRS FOR GROUP-INVARIANT HERMITIAN POLYNOMIALS ⋮ Asymptotics for invariant polynomials ⋮ The combinatorics of certain group-invariant mappings ⋮ Togliatti systems and Galois coverings ⋮ The weak Lefschetz property of equigenerated monomial ideals ⋮ Circulant matrices and Galois-Togliatti systems ⋮ An invariant-theoretic property of certain CR-mappings ⋮ On the coefficients of the permanent and the determinant of a circulant matrix: Applications ⋮ Number-theoretic properties of certain CR mappings ⋮ Uniqueness of certain polynomials constant on a line ⋮ Properties of certain sparse circulant determinants ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES

Cites Work

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• Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
• A short proof of Minc's conjecture
• On the permanent of certain \((0,1)\) Toeplitz matrices
• Counting 1-factors in regular bipartite graphs
• Invariant holomorphic mappings
• Computation of sparse circulant permanents via determinants
• Upper bounds for permanents of $\left( {0,\,1} \right)$-matrices

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