About the period of bell numbers modulo a prime

被引：8

作者：

Car, Mireille ^{[1
]}

Gallardo, Luis H. ^{[2
]}

Rahavandrainy, Olivier ^{[2
]}

Vaserstein, Leonid N. ^{[3
]}

机构：

[1] Univ Aix Marseille 3, Dept Math, F-13397 Marseille 20, France

[2] Univ Brest, F-29238 Brest 3, France

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 01期

关键词：

Bell numbers modulo a prime; extension of prime degree p of F-p;

D O I：

10.4134/BKMS.2008.45.1.143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-1 over FP divides g(p) = 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,center dot center dot center dot g(p)} that do not contain o(r).

引用

页码：143 / 155

页数：13

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