A note on the solution to the generalized Ramanujan–Nagell equation (Journal Article)
Fujita, Yasutsugu
A note on the solution to the generalized Ramanujan–Nagell equation (Journal Article) - New Delhi :Indian National Science Academy | Springer ,2023 - 1145-1157p. - Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 .
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Abstract: Let c be a fixed positive integer with. Very recently, Terai et al. (Int Math Forum 17:1–10, 2022) conjectured that the equation has only one positive integer solution, except for. In this paper, combining certain known results on Diophantine equations with some elementary methods, we verify that this conjecture is true for several cases.
0019-5588
Generalized Ramanujan–Nagell equation| Polynomial–exponential Diophantine equation
A note on the solution to the generalized Ramanujan–Nagell equation (Journal Article) - New Delhi :Indian National Science Academy | Springer ,2023 - 1145-1157p. - Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 .
***______________***
Abstract: Let c be a fixed positive integer with. Very recently, Terai et al. (Int Math Forum 17:1–10, 2022) conjectured that the equation has only one positive integer solution, except for. In this paper, combining certain known results on Diophantine equations with some elementary methods, we verify that this conjecture is true for several cases.
0019-5588
Generalized Ramanujan–Nagell equation| Polynomial–exponential Diophantine equation