Number Theory

    

Sums of nth Powers

Authors: Oliver Couto

Historically equation ( pa^n+qb^n=rc^n ) has been studied for degree 2 and eqn(pa^n+qb^n=rc^n ) here-in called equation (1) has been studied for n=2, p=1, q=9 (Ref.no. 4) by Ajai Choudhry. Tito Piezas has discussed about equation (1) when p=r=1 (Ref. no. 3). While Ref. no. (3 & 4) deals with equation no. (1) for degree n=2, this paper has provided parametric solutions for degree n=2,3,4,5 & 6. Also there are instances in this paper where parametric solutions have been arrived at using different methods.

Comments: 5 Pages.

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Submission history

[v1] 2020-08-30 10:33:45

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