International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 4

Alternateproofs for the infinite number of solutions of pell's equation

  • Author:
  • Bilkis M. Madni1, Devbhadra V. Shah2
  • Total Page Count: 5
  • Page Number: 255 to 259

1C. B. Patel Computer College and J. N. M. Patel Science College, Surat-India

2Department of Mathematics, Veer Narmad South Gujarat University, Surat-India

Online published on 4 May, 2019.

Abstract

In this paper we present a brief history and then derive the formula for infinite number of solutions of Pell's equation χ2 − Dy2 = N, by two differenttechniques, when it is solvable. HereD and N are fixed non-zero integers and D is not a perfect square.