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. 

References

1. W. Ljunggren, Avh. Norske, vid. Akad.oslo1, no.5 (1942)
2. L.J.Mordell, Diophantine Equations, Academic Press, London and Newyork, 1969, Mr40, 2600.
3. T.Nagell, Introduction to Number Theory, Wiley, Newyork, 1951, Mr 13, 207.
4. B.R.Panday, a Proof of Fermat’s Last Theorem, Tme, Volume xxix, No.4, December 1995.
5. J.Choubey, Method of Constructing Special Solutions of Diophantine Equations, Tme, Volume, xxviii, No.1 March 1994.
6. A.M.S. Ramasamy, Polynomial, Solutions of the Pell’s Equation, Ijpam, Volume 25, no.6, June 1994.
Published
2018-05-29
Section
Articles