Rad HAZU, Matematičke znanosti, Vol. 20 (2016), 19-26.

ON CRUSSOL’S METHOD FOR Σi=14 Xin = Σi=14 Yin, n=2,4,6

Allan J. MacLeod

Statistics, O.R. and Mathematics Group (retired), University of the West of Scotland, High St., Paisley, Scotland. PA1 2BE, UK
e-mail: peediejenn@hotmail.com

Abstract.   Crussol gave a method for computing non-trivial integer solutions to the equations in the title. We show that the method can be linked to finding points on either of two possible elliptic curves, both of which have rank greater than zero.

2010 Mathematics Subject Classification.   11D09, 11Y50.

Key words and phrases.   Elliptic curve, Crussol, multigrade.

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References:

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  5. D. Simon, Computing the rank of elliptic curves over number fields, LMS J. Comput. Math. 5 (2002) 7-17.
    MathSciNet     CrossRef

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