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A note on the solution to the generalized Ramanujan–Nagell equation (Journal Article)

By:

Fujita, Yasutsugu

Contributor(s):

Le, Maohua | Terai, Nobuhiro

Material type: Text

TextSeries: Indian Journal of Pure and Applied Mathematics ; , Volume 54: Number 4, December 2023Publication details: New Delhi :Indian National Science Academy | Springer ,2023Description: 1145-1157pISSN:

0019-5588

Subject(s):

Generalized Ramanujan–Nagell equation| Polynomial–exponential Diophantine equation

Online resources:

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Contents:

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Summary: 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.

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Item type	Current library	Call number	Status	Date due	Barcode
Periodicals	RIE BPL Library		Not for loan

***______{For Hard Copy, Please visit Library.}________***

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.

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A note on the solution to the generalized Ramanujan–Nagell equation (Journal Article)

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