On sums of powers of the positive integers

A. Schinzel

A. Schinzel

Colloquium Mathematicae, Tome 131 (2013), p. 211-220 / Harvested from The Polish Digital Mathematics Library

Résumé

The pairs (k,m) are studied such that for every positive integer n we have $1^{k} + 2^{k} + \dots + n^{k} | 1^{k m} + 2^{k m} + \dots + n^{k m}$ .

Publié le : 2013-01-01

Zbl 06218033

EUDML-ID : urn:eudml:doc:283472

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     author = {A. Schinzel},
     title = {On sums of powers of the positive integers},
     journal = {Colloquium Mathematicae},
     volume = {131},
     year = {2013},
     pages = {211-220},
     zbl = {06218033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-4}
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A. Schinzel. On sums of powers of the positive integers. Colloquium Mathematicae, Tome 131 (2013) pp. 211-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-4/