On The Sum of Three Square Formula

https://doi.org/10.51867/scimundi.3.1.11

Authors

  • Lao Hussein Mude Department of Pure and Applied Sciences, Kirinyaga University, P. O. Box 143-10300, Kerugoya, Kenya
  • Maurice Owino Oduor Department of Mathematics, Actuarial and Physical Sciences, University of Kabianga, P. O. Box 2030-20200, Kericho, Kenya
  • Michael Onyango Ojiema Department of Mathematics, Masinde Muliro University of Science and Technology, P. O. Box 190-50100, Kakamega, Kenya https://orcid.org/0000-0001-9635-7597

Keywords:

Diophantine Equation, Sums of Three Squares

Abstract

Let n,x,y,z be any given integers. The study of n for which n = x2 +y2 + z2 is a very long-standing problem. Recent survey of sizeable literature shows that many researchers have made some progress to come up with algorithms of decomposing integers into sums of three squares. On the other hand, available results on integer representation as sums of three square is still very minimal. If a,b,c,d,k,m,n,u,v and w are any non-negative integers, this study determines the sum of three-square formula of the form abcd+ka2+ma+n = u2 +v2 +w2 and establishes its applications to various cases.

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Published

2023-11-30

How to Cite

Mude, L. H., Oduor, M. O., & Ojiema, M. O. (2023). On The Sum of Three Square Formula. SCIENCE MUNDI, 3(1), 111–120. https://doi.org/10.51867/scimundi.3.1.11

Issue

Vol. 3 No. 1 (2023): Jan-Dec 2023

Section

Articles
Copyright & Licensing

Copyright (c) 2023 Lao Hussein Mude, Maurice Owino Oduor, Michael Onyango Ojiema

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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