Mathematics of Computation

Author(s): Randy L. Ekl.
Journal: Math. Comp. 67 (1998), 1309-1315.
MSC (1991): Primary 11D41; Secondary 11Y50
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$\begin{equation*}\sum _{i=1}^{m} a_{i}^{k}=\sum _{j=1}^{n} b_{j}^{k},\end{equation*}$

i.e., equal sums of like powers. Since the 1967 Lander, Parkin and Selfridge survey paper [4], few other numeric results have been published (see Elkies [6] and Ekl [3]). The present paper reports on several new smallest primitive solutions. Further, search limits have been extended in many cases, and tables of solutions are presented. Additionally, new solutions to the same class of problems in distinct integers have been discovered.

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Randy L. Ekl
Affiliation: 930 Lancaster Lane, Lake Zurich, IL 60047
Email: randye@comm.mot.com

DOI: 10.1090/S0025-5718-98-00979-X
PII: S 0025-5718(98)00979-X
Keywords: Number theory, diophantine equation, computational number theory, Euler's conjecture
Received by editor(s): September 30, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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