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EULER NUMBERS MODULO 2n

Part of: Sequences and sets

Published online by Cambridge University Press:  09 April 2010

ZHI-HONG SUN
ZHI-HONG SUN*
Affiliation:
School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223001, PR China (email: [email protected])
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Abstract

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Let {En} be the Euler numbers. We give a general congruence modulo 2(m+2)n for E2mk+b, where k,m,n are positive integers and b∈{0,2,4,…}.

Keywords

Euler numbercongruence

MSC classification

Secondary: 11B68: Bernoulli and Euler numbers and polynomials
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 221 - 231
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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