Diophantine equations are equations containing only sums, products and powers where all constants are integers and the only solution of interest is an integer. The congruence method provides a convenient tool for determining the number of solutions to Diophantine equations. We locate the triple involving several special numbers in such a way that the triple whose product of any two of its parts is a perfect square. In this way, various triples and quadruples with different attributes can be found.
Author(s) Details:
Dr. G. Janaki,
PG
& Research Department of Mathematics, Cauvery College for Women
(Autonomous), Tiruchirappalli - 620 018, Tamil Nadu, India.
Please see the link here: https://stm.bookpi.org/EDE/article/view/12428
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