Authors
Citation
A. Choudhry, Equal sums of seventh powers, R MT J MATH, 30(3), 2000, pp. 849-852
Citations number
5
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596
→ ACNP
Volume
30
Issue
3
Year of publication
2000
Pages
849 - 852
Database
ISI
SICI code
0035-7596(200023)30:3<849:ESOSP>2.0.ZU;2-4
Abstract
Until now only three numerical solutions of the diophantine equation x(1)(7
) + x(2)(7) + x(3)(7) + x(4)(7) = y(1)(7) + y(2)(7) + y(3)(7) + y(4)(7) are
known. This paper provides three numerical solutions in positive integers
of the hitherto unsolved system of simultaneous diophantine equations x(1)(
k) + x(2)(k) + x(3)(k) + x(4)(k) = y(1)(k) + y(2)(k) + y(3)(k) + y(4)(k), k
= 1, 3 and 7.