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Zapiski Nauchnykh Seminarov 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
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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.
Funding agency Grant number
Russian Science Foundation 17-11-01124
Received: 01.11.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 6, Pages 752–759
DOI: https://doi.org/10.1007/s10958-018-3904-z
Bibliographic databases:
Document Type: Article
UDC: 512.643.2
Language: Russian
Citation: M. V. Budrevich, “The number of matrices with nonzero permanent over a finite field”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 13–24; J. Math. Sci. (N. Y.), 232:6 (2018), 752–759
Citation in format AMSBIB
\Bibitem{Bud17}
\by M.~V.~Budrevich
\paper The number of matrices with nonzero permanent over a~finite field
\inbook Computational methods and algorithms. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 463
\pages 13--24
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6503}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 6
\pages 752--759
\crossref{https://doi.org/10.1007/s10958-018-3904-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049019725}
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