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Sums of Reciprocal Powers of Terms in Arithmetic Sequence

Published online by Cambridge University Press:  20 November 2018

E. L. Whitney
E. L. Whitney*
Affiliation:
University of Alberta
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Extract

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A note by N. Kimura gives the sums

explicitly linearly interms of the sums for positive integers p.

We note here that by a similar simple method, the Bernoulli numbers and Euler numbers may be related similarly to these sums.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 6 , Issue 1 , January 1963 , pp. 109 - 112
Copyright
Copyright © Canadian Mathematical Society 1963

References

Note

* Kimura, N.. This Bulletin (1962) 53, pp. 305-309 Google Scholar