About the period of bell numbers modulo a prime

Mireille Car, Luis H. Gallardo, Olivier Rahavandrainy, Leonid N. Vaserstein

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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).

Original languageEnglish (US)
Pages (from-to)143-155
Number of pages13
JournalBulletin of the Korean Mathematical Society
Volume45
Issue number1
DOIs
StatePublished - Jan 1 2008

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Bell numbers
Irreducible polynomial
Prime number
Divides
Modulo
Roots
Subset
Object

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Car, Mireille ; Gallardo, Luis H. ; Rahavandrainy, Olivier ; Vaserstein, Leonid N. / About the period of bell numbers modulo a prime. In: Bulletin of the Korean Mathematical Society. 2008 ; Vol. 45, No. 1. pp. 143-155.
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About the period of bell numbers modulo a prime. / Car, Mireille; Gallardo, Luis H.; Rahavandrainy, Olivier; Vaserstein, Leonid N.

In: Bulletin of the Korean Mathematical Society, Vol. 45, No. 1, 01.01.2008, p. 143-155.

Research output: Contribution to journalArticle

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