On the Integer Solutions of the Pell Equation x2-79y2 = 9k

Authors

  • G. Janaki  Department of Mathematics, Cauvery College for Women, Trichy, Tamilnadu, India
  • S. Vidhya  Department of Mathematics, Cauvery College for Women, Trichy, Tamilnadu, India

Keywords:

Pell Equation, Binary Quadratic Diophantine Equation, Integer Solutions.

Abstract

The binary quadratic Diophantine equation represented by x2-79y2 = 9k , k>0 is considered. A method of obtaining infinitely many non-zero distinct integer solutions of the Pell equation considered above is illustrated. A few interesting relations among the solutions and some special numbers are presented and the recurrence relations on the solutions are obtained.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2017-12-31

Issue

Volume 2, Issue 2, March-April-2016

Section

Research Articles

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How to Cite

[1]
G. Janaki, S. Vidhya, " On the Integer Solutions of the Pell Equation x2-79y2 = 9k , International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 2, pp.1195-1197, March-April-2016.