ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME

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...

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Veröffentlicht in:	Taehan Suhakhoe hoebo 2008, Vol.45 (1), p.143-155
Hauptverfasser:	Car, Mireille, Gallardo, Luis H, Rahavandrainy, Olivier, Vaserstein, Leonid N
Format:	Artikel
Sprache:	kor
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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).
ISSN:	1015-8634