Research ArticleOpen AccessGoogle Scholar indexed
Solutions of Indefinite Equations
MCHH of Guangxi, Nanning, China
- 1 MCHH of Guangxi, Nanning, China
Advances in Pure Mathematics·Volume 10 (2020)·Pages 540–544·Published 8 September 2020·DOI10.4236/apm.2020.109033
Copy link · social · email
Abstract
Indefinite equation is an unsolved problem in number theory. Through explo-ration, the author has been able to use a simple elementary algebraic method to solve the solutions of all three variable indefinite equations. In this paper, we will introduce and prove the solutions of Pythagorean equation, Fermat’s the-orem, Bill equation and so on.
KeywordsIndefinite EquationFermat’s Last TheoremAlgebraic TransformationL-Algorithm
- Harly, G.H. and Wright, E.M. (2007) An Introduction to the Theorem of Number. People’s Post and Telecommunications Press, Beijing, 205-215.
- Baiks, Indefinite Equation. https://baike.so.com/doc/4001025-4197595.html
- Euclid (2011) Geometric Origin. Translated by Weng Shi, Tianjing People’s Press, Tianjing, 39-40.
- Rosen, K.H. (2005) Elementary Number Theory and Its Application. Machinery Industry Press, Beijing.
- Aczel, A.D. (2016) Fermat’s Last Theorem. Shanghai Scientific & Technological Literature Press, Shanghai.
- Liang, Z.Y. (2019) Proof of Beal Conjecture. Journal of Advances in Pure Mathematics, 9. http://www.scirp.org/jourrnal.jamp