On the <IMG ALIGN=MIDDLE >-divisibility of Fermat quotients期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the -divisibility of Fermat quotients

Authors:	R Ernvall T Metsä nkylä

Institution:	Forssa Institute of Technology, Saksankatu 46, FIN-30100 Forssa, Finland T. Metsänkylä ; Department of Mathematics, University of Turku, FIN-20014 Turku, Finland

Abstract:	The authors carried out a numerical search for Fermat quotients $Q_{a} = (a^{p-1}-1)/p$ vanishing mod , for $1 \le a \le p-1$ , up to $p < 10^{6}$ . This article reports on the results and surveys the associated theoretical properties of $Q_{a}$ . The approach of fixing the prime rather than the base leads to some aspects of the theory apparently not published before.

Keywords:	Fermat quotients computation Fermat's equation Catalan's equation cyclotomic fields

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文