TY - JOUR
T1 - About the period of bell numbers modulo a prime
AU - Car, Mireille
AU - Gallardo, Luis H.
AU - Rahavandrainy, Olivier
AU - Vaserstein, Leonid N.
PY - 2008/2
Y1 - 2008/2
N2 - Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial xp - x - 1 over Fp divides g(p) = pp-1/p-1 Samuel Wagstaff recently conjectured that o(r) = g(p) for any prime p. The main object of the paper is to give some subsets S of {1,...,g(p)} that do not contain o(r).
AB - Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial xp - x - 1 over Fp divides g(p) = pp-1/p-1 Samuel Wagstaff recently conjectured that o(r) = g(p) for any prime p. The main object of the paper is to give some subsets S of {1,...,g(p)} that do not contain o(r).
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U2 - 10.4134/BKMS.2008.45.1.143
DO - 10.4134/BKMS.2008.45.1.143
M3 - Article
AN - SCOPUS:40749126779
SN - 1015-8634
VL - 45
SP - 143
EP - 155
JO - Bulletin of the Korean Mathematical Society
JF - Bulletin of the Korean Mathematical Society
IS - 1
ER -