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Congruences Involving Bernoulli Numbers and Fermat–Euler Quotients

✍ Scribed by Takashi Agoh

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
100 KB
Volume
94
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let B m be the mth Bernoulli number in the even suffix notation and let q(a, n)=(a j(n) -1)/n be the Fermat-Euler quotient, where a, n \ 2 are relatively prime positive integers and j is the Euler totient function. The main purpose of this paper is to devise a certain congruence involving the Bernoulli number and Fermat-Euler quotient, which leads to several important arithmetic properties of Bernoulli numbers.

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