An enumeration problem for a congruence equation

DOI10.6028/jres.074B.003zbMath0201.04704OpenAlexW2314052071MaRDI QIDQ5598426

Richard A. Brualdi, Morris Newman

Publication date: 1970

Published in: Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.6028/jres.074b.003

zbMATH Keywords

generating functionscirculant matrixlinear Diophantine equationspermanentcongruence equationsnumber of formally distinct terms

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Congruences in many variables (11D79) Linear Diophantine equations (11D04)

Related Items (8)

Complementary permutations for abelian groups ⋮ Circulant matrices and Galois-Togliatti systems ⋮ Fredman's reciprocity, invariants of Abelian groups, and the permanent of the Cayley table. ⋮ On the coefficients of the permanent and the determinant of a circulant matrix: Applications ⋮ On the permanents of circulant and degenerate Schur matrices ⋮ The number of terms in the permanent and the determinant of a generic circulant matrix ⋮ A symmetric relationship for a class of partitions ⋮ Circulant matrices and mathematical juggling

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