Solutions Of Negative Pellβs Equation Involving Interprimes
Abstract
Many researchers have been devoted to finding the solutions (πΌ,π») in the set of non-negative integers, of Diophantine equation (Pell Equation) of the type πΌπ=π«π»πΒ±πΆ, where the value πΆ is fixed positive integers. In this article, we look for non-trivial integer solutions to two negative Pell equations ππ=ππππβππ,and ππ=ππππβπππ, πβπ΅ for the different choices of π particular by (π) π=π, (ππ) π=π,(πππ) π=π,(ππ) π=ππ,(π) π=ππ+π,β πβπ΅. Additionally, recurrence relations on the solutions are obtained.
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