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A New Proof of a Theorem of Lehmer

Published online by Cambridge University Press:  20 November 2018

J. B. Roberts
J. B. Roberts*
Affiliation:
Wesleyan University Middletown, Conn
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In 1851 Prouhet (2) stated that any bk+1 consecutive positive integers (b a positive integer ⩾ 2) can be separated into b sets o, …, b-1 each with bk members in such a way that where designates the sum of the tth powers of the numbers in j. In 1947 Lehmer (1) generalized this result.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 191 - 194
Copyright
Copyright © Canadian Mathematical Society 1958

References

1. Lehmer, D. H., The Tarry-Escott problem, Scripta Math., 13 (1947), 37-41.Google Scholar
2. Prouhet, M. E., Memoire sur quelques relations entre les puissances des nombres, C.R. Acad. Sci., 33 (Paris, 1851), 225.Google Scholar
3. Wright, E. M., Equal sums of like powers, Proc. Edin. Math. Soc, (2), 8 (1949), 138-142.Google Scholar