IJPAM: Volume 97, No. 2 (2014)

THE SOLUTION OF FERMAT EQUATION IN THE RATIONAL
POINTS OF THE UNITARY CIRCUMFERENCE

B. Martin Cerna Maguiña
Department of Mathematics
National University of ``Santiago Antúnez de Mayolo''
Campus Shancayan, Av. Centenario 200, Huaraz, PERÚ


Abstract. In this work we resolve the Fermat equation over rational points in the unitary circumference. For this we take a point $(p_{0},q_{0})$ in the unitary circumference $x^{2}+y^{2}=1$, where $p_{0},q_{0}\in\mathbb{Q}$ or $q_0\in\mathbb{I}$ and $p_{0}\in\mathbb{I}$. Then the straight line $y=q_{0}$ intersects the curve $x^{d}+y^{d}=1$, in the point $(p_1,q_0)$ we demonstrated that $p_{1}$ is an irrational number.

Received: May 8, 2014

AMS Subject Classification: 11A41, 11D41

Key Words and Phrases: primes, Fermat`s equations, Diophantine equations

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DOI: 10.12732/ijpam.v97i2.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 97
Issue: 2
Pages: 177 - 181


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