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Construction of Strong Diophantine Quadruples and Pell Equation

M.A.Gopalan1 , S. Vidhyalakshmi2, E.Premalatha3
  1. Professor, Department of Mathematics, SIGC, Trichy, Tamilnadu, India
  2. Assistant Professor, Department of Mathematics, National College, Trichy, Tamilnadu, India
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Abstract

This paper aims at constructing strong Diophantine quadruples by employing the non zero distinct integer solutions of the Pell equations y2  Dx2 1 and y 2  Dx2  4 .

Keywords

Strong Diophantine Quadruples, Pellian equation, integer solutions.

INTRODUCTION

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IV. ACKNOWLEDGEMENT

*The finicial support from the UGC, New Delhi (F-MRP-5123/14(SERO/UGC) dated march 2014) for a part of this work is gratefully acknowledged.

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