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   Simultaneous pell equations x2 - my2 = 1 and y2 - pz2 = 1  
   
نویسنده sihabudin n.a. ,sapar s.h. ,johari m.a.m.
منبع malaysian journal of mathematical sciences - 2017 - دوره : 11 - شماره : S - صفحه:61 -71
چکیده    Pell equation is a special type of diophantine equations of the form x2 - my2 = 1,where m is a positive non-square integer. since m is not a perfect square,then there exist infinitely many integer solutions (x,y) to the pell equation. this paper will discuss the integral solutions to the simultaneous pell equations x2 - my2 = 1 and y2 - pz2 = 1,where m is square free integer and p is odd prime. the solutions of these simultaneous equations are of the form of (x,y,z,m) = (yn 2t ± 1,yn,zn,yn 2t2 ± 2t) and for yn odd and even respectively,where t ε n.
کلیدواژه Pell equation and parity; Simultaneous pell equations
آدرس institute for mathematical research,universiti putra malaysia, Malaysia, institute for mathematical research,universiti putra malaysia,malaysia,department of mathematics,faculty of science,universiti putra malaysia, Malaysia, institute for mathematical research,universiti putra malaysia,malaysia,department of mathematics,faculty of science,universiti putra malaysia, Malaysia
 
     
   
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