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 -