Application of Balancing Numbers in Effectively Solving Generalized Pell’s Equation
نویسنده
چکیده
Solving a generalized Pell’s equation of the form , basically involves two steps. The first step is to find out the primitive solutions for the same, and the second step is to solve related Pell’s equation ; and combine the two solutions. Therefore it is evident that the number of independent primitive solutions determines the number of independent solution sets. In our work, we have tried to remove this dependency on the primitive solutions, while solving a particular form, where is a class of generalized Pell’s equation i.e. equation of the constant. We show that the solution set thus obtained is same as the solution set obtained through the classical means.
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تاریخ انتشار 2014