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Prikladnaya Diskretnaya Matematika, 2014, Number 4(26), Pages 13–20 (Mi pdm476)  
Theoretical Foundations of Applied Discrete Mathematics

Comparisons for numbers of complete mappings

L. N. Bondarenkoa, M. L. Sharapovab

a Penza State University, Penza, Russia
b Lomonosov Moscow State University, Moscow, Russia
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Abstract: For the numbers of standard complete mappings and for the numbers of standard strong complete mappings, comparisons modulo a prime number are obtained. The proofs of them are based on properties of some statistics and Euler's numbers on the related sets of permutations. For these sets, similar results taking into account the sign of permutations in them are also obtained.
Keywords: complete mappings, permutation, statistic, Euler's numbers, Wilson theorem, displacement of permutation.
Document Type: Article
UDC: 519.1+511.2
Language: Russian
Citation: L. N. Bondarenko, M. L. Sharapova, “Comparisons for numbers of complete mappings”, Prikl. Diskr. Mat., 2014, no. 4(26), 13–20
Citation in format AMSBIB
\Bibitem{BonSha14}
\by L.~N.~Bondarenko, M.~L.~Sharapova
\paper Comparisons for numbers of complete mappings
\jour Prikl. Diskr. Mat.
\yr 2014
\issue 4(26)
\pages 13--20
\mathnet{http://mi.mathnet.ru/pdm476}
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