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Congruences involving Bernoulli and Euler numbers

✍ Scribed by Zhi-Hong Sun

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 263 KB
Volume: 128
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2007.03.003

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✦ Synopsis

Let [x] be the integral part of x. Let p > 5 be a prime. In the paper we mainly determine

) in terms of Euler and Bernoulli numbers. For example, we have

where E n is the nth Euler number and B n is the nth Bernoulli number.

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