Some Basic Diophantine Equations

  • R. Manikandan Department of Mathematics, M.I.E.T. Engineering College, Tiruchirappalli-7.
Keywords: Diophantine equations, PELL’S equations and Continue fraction method.

Abstract

In this paper we present a method for solving the Diophantine equation, first we find the polynomial solution for the PELL’S equation by the method of continued fractions then present the integral solution of the Diophantine equations. Theorems are discussed to demonstrate the continue fraction method. 

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