NOTE ON A CONGRUENCE FOR THE FERMAT QUOTIENT WITH BASE 2

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2019-01-01 DOI:10.2206/kyushujm.73.115

H. Ichimura

引用次数: 2

Abstract

A classical congruence of Eisenstein and Lerch for the Fermat quotient with base 2 is generalized by Skula and Dobson. We give an alternative proof for the general congruence using a ‘Fermat quotient’ associated to a unit of an abelian number field.

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注意以2为底的费马商的同余

Skula和Dobson推广了以2为基底的费马商的经典同余。利用与阿贝尔数域的一个单位相关的“费马商”，给出了一般同余的另一种证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.