A Novel Proof based on the method of infinite descent for Fermat’s Last Theorem

Ling Cai; Songlin Chen; Qing Zhang

A Novel Proof based on the method of infinite descent for Fermat’s Last Theorem

Ling Cai School of Mathematics & Physics, Anhui University of Technology Ma’anshan, Anhui 243002, P R China
Songlin Chen School of Mathematics & Physics, Anhui University of Technology Ma’anshan, Anhui 243002, P R China
Qing Zhang School of Mathematics & Physics, Anhui University of Technology Ma’anshan, Anhui 243002, P R China

Keywords: Fermat's Last Theorem, elementary proof, the method of infinite descent

Abstract

Fermat’s Last Theorem is that for each k >=3 (k is an integer), the equation involving x, y and z has no positive integer solution. This paper proposed a novel proof for the Fermat’s last theorem by the methods of infinite descent and complex variable analysis.

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References

H. Edwards 1977.Fermat's Last Theorem: A Genetic Introduction to Algebraic Number theory.

Springer-Verlag, New York

A.Wiles(1995). Modular elliptic curves and Fermat's Last Theorem. Ann. Math. ,141,443-551.

A.Wiles & R.Taylor(1995). Ring theoretic properties of certain Heche algebras. Ann. Math., 141,553-573.

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Orthogonal Publishing

J.E. Joseph(2016).Proofs of Fermat's Last Theorem and Beal's Conjecture. JPRM, 10,1446-1447.

Published

2017-04-28

How to Cite

Cai, L., Chen, S., & Zhang, Q. (2017). A Novel Proof based on the method of infinite descent for Fermat’s Last Theorem. Journal of Progressive Research in Mathematics, 12(1), 1712-1717. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1050

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Issue

Vol 12 No 1: JPRM

Section

Articles

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