A Solution to Weighted Sums of Squares as a Square

Autor/inn/en	Withers, Christopher S.; Nadarajah, Saralees
Titel	A Solution to Weighted Sums of Squares as a Square
Quelle	In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 8, S.1099-1108 (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2012.662290
Schlagwörter	Statistical Analysis; Geometric Concepts; Numbers; Equations (Mathematics); Algebra + Suchen Sie Ihr Suchwort? Statistische Analyse; Elementare Geometrie; Zahlenraum; Equations; Mathematics; Gleichungslehre
Abstract	For n = 1, 2, ... , we give a solution (x[subscript 1], ... , x[subscript n], N) to the Diophantine integer equation [image omitted]. Our solution has N of the form n!, in contrast to other solutions in the literature that are extensions of Euler's solution for N, a sum of squares. More generally, for given n and given integer weights m[subscript 1], m[subscript 2], ... , m[subscript n] we give a solution to [image omitted]. The weights may be positive or negative and are subject to some restrictions. Choosing weights plus or minus 1 gives a solution to the problem of finding integer vectors of the same length. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10