Comparisons for numbers of complete mappings
Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 13-20

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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, statistic, Euler's numbers, Wilson theorem, displacement of permutation.
Mots-clés : permutation
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     title = {Comparisons for numbers of complete mappings},
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L. N. Bondarenko; M. L. Sharapova. Comparisons for numbers of complete mappings. Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 13-20. http://geodesic.mathdoc.fr/item/PDM_2014_4_a1/