2 papers
math.CO2009
Rationality of generating functions of rook polynomials and permanents of Kronecker products of Toeplitz matrices and circulants with the matrix and their evaluation. I
A. M. Kamenetskii
In this paper we give a generalization created by the author of the theory of rook polynomials and permanents of circulants, Toeplits matrices and their submatrices.
math.CO2009
Determinants and permanents of an arbitrary Hadamard degree of a Cauchy matrix and a proof of a generalization of a conjecture of R.F.Scott (1881)
A. M. Kamenetskii
In this paper we give the absolutely new proof of a conjecture of R.F.Scott(1881) on the permanent of a Cauchy matrix $\ls \frac{1}{x_i-y_j} \rs_{1 \leqslant i,j \leqslant n},$ whe…