Sums of Reciprocal Powers of Terms in Arithmetic Sequence
Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 109-112
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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.
Whitney, E. L. Sums of Reciprocal Powers of Terms in Arithmetic Sequence. Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 109-112. doi: 10.4153/CMB-1963-012-4
@article{10_4153_CMB_1963_012_4,
author = {Whitney, E. L.},
title = {Sums of {Reciprocal} {Powers} of {Terms} in {Arithmetic} {Sequence}},
journal = {Canadian mathematical bulletin},
pages = {109--112},
year = {1963},
volume = {6},
number = {1},
doi = {10.4153/CMB-1963-012-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-012-4/}
}
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