Journals Information
Universal Journal of Applied Mathematics Vol. 5(1), pp. 6 - 10
DOI: 10.13189/ujam.2017.050102
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Parametric Solutions to Equation (pan+qbn=pcn+qdn) Where 'n' Stands for Degree 2, 3, 4, 5, 6, 7, 8 & 9
Seiji Tomita 1,*, Oliver Couto 2
1 Tokyo Software Company (Inc.), Tokyo, Japan
2 University of Waterloo, Canada
ABSTRACT
Historically equation ( pan+qbn+rcn=pun+qvn+rwn ) has been studied for degree 2, 3, 4 etc., and equation (pan+qbn=pcn+qdn ) herein called equation (1) has been published for n=4 ,p=1,q=4 (Ref.no. 1) by Ajai Choudhry. Also Tito Piezas & others has discussed about equation (1) (Ref. no. 3 & 2). While Ref. no. (1, 2 & 3) deals with equation no. (1) for degree n=4 this paper has provided parametric solutions for degree n=2, 3, 4, 5, 6, 7, 8 & 9. Also there are instances in this paper where parametric solutions have been arrived at using different methods.
KEYWORDS
Diophantine Equations, Equal Sums of Powers, Pure Mathematics
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Seiji Tomita , Oliver Couto , "Parametric Solutions to Equation (pan+qbn=pcn+qdn) Where 'n' Stands for Degree 2, 3, 4, 5, 6, 7, 8 & 9," Universal Journal of Applied Mathematics, Vol. 5, No. 1, pp. 6 - 10, 2017. DOI: 10.13189/ujam.2017.050102.
(b). APA Format:
Seiji Tomita , Oliver Couto (2017). Parametric Solutions to Equation (pan+qbn=pcn+qdn) Where 'n' Stands for Degree 2, 3, 4, 5, 6, 7, 8 & 9. Universal Journal of Applied Mathematics, 5(1), 6 - 10. DOI: 10.13189/ujam.2017.050102.