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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2017 Volume 463, Pages 13–24 (Mi znsl6503)
The number of matrices with nonzero permanent over a finite field

M. V. Budrevich

Lomonosov Moscow State University, Moscow, Russia

Abstract: A new method for obtaining lower bounds on the number of matrices over a finite field with nonzero permanent is developed. Some earlier results are improved.

Key words and phrases: permanent, determinant, conversion, finite fields.

UDC: 512.643.2

Received: 01.11.2017


 English version: Journal of Mathematical Sciences (New York), 2018, 232:6, 752–759

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© Steklov Math. Inst. of RAS, 2024