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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 1, Pages 51–54 (Mi vmumm208)

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The sufficient condition of sign conversion for matrices over a finite field

M. V. Budrevich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 512.643.8

Received: 20.12.2013


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2015, 70:1, 33–36

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