L. N. Bondarenko, M. L. Sharapova, “Euler's numbers on sets of permutations and analogues of Wilson's theorem”, Prikl. Diskr. Mat. Suppl., 2014, Issue 7,Pages <nobr>9

Theoretical Foundations of Applied Discrete Mathematics

Euler's numbers on sets of permutations and analogues of Wilson's theorem

L. N. Bondarenko^a, M. L. Sharapova^b

^a Penza State University, Penza
^b Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow

Abstract: Euler's numbers on sets of permutations are defined. By using them the analogues of Wilson's theorem for the numbers of standard complete mappings and for the numbers of standard strong complete mappings are proved.

Keywords: permutation, Euler's numbers, complete mappings, Wilson's theorem.

UDC: 519.1+511.2