Intrinsic Solutions of the Pell Equation x2 = 5y2 + 9t | Chapter 3 | Explorations in Diophantine Equations

 We search for a non-trivial integer solutions to the equation x2= 5y2+ 9t, t ∈ N , where i) t = 2k+1, ii) t = 2k for all k ∈ N , Additionally the recurrence relation for the solutions are also discovered.

Author(s) Details:

S. Vidhya,
PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

G. Janaki,
PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

B. Amala,
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/12430