Sufficient condition for matrix convertibility over a finite field / M. V. Budrevich. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 1. P. 51-54 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 33-36].
A sign conversion for matrices over finite fields is studied. The sufficient condition for sign conversion between permanent and determinant functions is obtained for matrices with large number of nonzero elements.
Key words: permanent, Polya problem, sign conversion, finite field.