[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2008.45.1.143

ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME

Car, Mireille (DEPARTMENT OF MATHEMATICS UNIVERSITY AIX-MARSEILLE III AVENUE ESCADRILLE NORMANDIE-NIEMEN)
Gallardo, Luis H. (MATHEMATICS UNIVERSITY OF BREST)
Rahavandrainy, Olivier (MATHEMATICS UNIVERSITY OF BREST)
Vaserstein, Leonid N. (DEPARTMENT OF MATHEMATICS THE PENNNSYLVANIA STATE UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 143-155 More about this Journal

Abstract

Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial $x^p-x-l$ over $\mathbb{F}_p$ divides $g(p)=\frac{p^p-1}{p-1}$ . 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).

Keywords

Bell numbers modulo a prime; extension of prime degree p of $\mathbb{F}_p$ ;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
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