ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME

Title & Authors
ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME
Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.;

Abstract
Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial $\small{x^p-x-l}$ over $\small{\mathbb{F}_p}$ divides \$g(p)
Keywords
Bell numbers modulo a prime;extension of prime degree p of $\small{\mathbb{F}_p}$;
Language
English
Cited by
1.
Some primitive elements for the Artin–Schreier extensions of finite fields, Journal of Mathematical Sciences, 2015, 210, 1, 67
References
1.
N. Bourbaki, Elements de mathematique. Algebre. Chapitres 4 a 7, Lecture Notes in Mathematics, 864. Masson, Paris, 1981

2.
S. D. Cohen, Reducibility of sublinear polynomials over a finite field, Bull. Korean Math. Soc. 22 (1985), no. 1, 53-56

3.
R. Lidl and H. Niederreiter, Finite Fields, With a foreword by P. M. Cohn. Second edition. Encyclopedia of Mathematics and its Applications, 20. Cambridge University Press, Cambridge, 1997

4.
W. F. Lunnon, P. A. B. Pleasants, N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus. I, Acta Arith. 35 (1979), no. 1, 1-16

5.
W. H. Mills, The degrees of the factors of certain polynomials over finite fields, Proc. Amer. Math. Soc. 25 (1970), 860-863

6.
S. Jr. Wagstaff, Aurifeuillian factorizations and the period of the Bell numbers modulo a prime, Math. Comp. 65 (1996), no. 213, 383-391