References

ON THE DIOPHANTINE EQUATION


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[2] F. S. Abu Muriefah, On the Diophantine equation Demonstratio Math. 39 (2006), 285-289.

[3] F. S. Abu Muriefah, F. Luca and A. Togbé, On the Diophantine equation Glasgow Math. J. 50 (2006), 175-181.

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[10] F. Beukers, On the generalized Ramanujan-Nagell equations, I, Acta Arith. 38 (1980/1981), 389-410.

[11] F. Beukers, On the generalized Ramanujan-Nagell equations, II, Acta Arith. 39 (1981), 113-123.

[12] Y. Bugeaud, M. Mignotte and S. Siksek, Classical and modular approaches to exponential Diophantine equations, II, The Lebesgue-Nagell equation, Compositio Math. 142 (2006), 31-62.

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[15] I. N. Cangül, M. Demirci, I. Inam, F. Luca and G. Soydan, On the Diophantine equation submitted.

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[21] V. A. Lebesgue, Sur l’impossibilité en nombres entiers de l’equation Nouv. Annal. des Math. 9 (1850), 178-181.

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[23] F. Luca, On the Diophantine equation Int. J. Math. Math. Sci. 29 (2002), 239-244.

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[26] E. M. Matveev, An explict lower bound for a homogeneous rational linear form in logarithms of algebraic numbers, II, Izv. Ross. Akad. Nauk Ser. Math. 64 (2000), 125-180, English transl. in Izv. Math. 64 (2000), 1217-1269.

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[28] S. Ramanujan, Question 464, J. Indian Math. Soc. 5 (1913), 120.

[29] S. Ramanujan, Collected Papers, Chelsea Publishing Co., New York, (1962), 327.

[30] T. N. Shorey, Diophantine approximations, Diophantine equations, transcendence and applications, Indian J. Pure Appl. Math. 37 (2006), 9-39.

[31] Sz. Tengely, On the Diophantine equation Indag. Math. (N.S.) 15 (2004), 291-304.