Journal of Algebra, Number Theory: Advances and Applications
[1] F. S. Abu Muriefah and S. A. Arif, The Diophantine equation
Indian J. Pure Appl. Math. 30 (1999),
229-231.
[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.
[4] R. Apéry, Sur une équation diophantienne, C. R. Acad. Sci.
Paris Sér. A 251 (1960), 1263-1264 and 1451-1452.
[5] S. A. Arif and F. S. Abu Muriefah, On the Diophantine equation
Int. J. Math. Math. Sci. 20 (1997), 299-304.
[6] S. A. Arif and F. S. Abu Muriefah, On the Diophantine equation
Int. J. Math. Math. Sci. 21 (1998),
619-620.
[7] S. A. Arif and F. S. Abu Muriefah, On a Diophantine equation,
Bull. Austral. Math. Soc. 57 (1998), 189-198.
[8] S. A. Arif and F. S. Abu Muriefah, On the Diophantine equation
J. Number Theory 95 (2002), 95-100.
[9] M. A. Bennett, Rational approximation to algebraic numbers of
small height: The Diophantine equation 
Jour. Reine Angew. Math. 535 (2001),
1-49.
[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.
[13] I. N. Cangül, M. Demirci, G. Soydan and N. Tzanakis, The
Diophantine equation 
Funct. Approx. Comment. Math., to appear,
(arXiv:1001.2525).
[14] I. N. Cangül, M. Demirci, F. Luca, A. Pintér and G. Soydan,
On the Diophantine equation 
Fibonacci Quart., to appear.
[15] I. N. Cangül, M. Demirci, I. Inam, F. Luca and G. Soydan, On
the Diophantine equation 
submitted.
[16] E. L. Cohen, The Diophantine equation 
and related questions, Math. Scand. 38
(1976), 240-246.
[17] A. Dujella and A. Pethö, A generalization of a theorem of
Baker and Davenport, Quart. J. Math. Oxford Ser. (2) 49 (1998),
291-306.
[18] C. Ko, On the Diophantine equation 
Sci. Sinica 14 (1965), 457-460.
[19] M. Le, An exponential Diophantine equation, Bull. Austral. Math.
Soc. 64 (2001), 99-105.
[20] M. Le, On Cohn’s conjecture concerning the Diophantine
Arch. Math. (Basel) 78 (2002), 26-35.
[21] V. A. Lebesgue, Sur l’impossibilité en nombres entiers
de l’equation 
Nouv. Annal. des Math. 9 (1850), 178-181.
[22] F. Luca, On a Diophantine equation, Bull. Austral. Math. Soc. 61
(2000), 241-246.
[23] F. Luca, On the Diophantine equation 
Int. J. Math. Math. Sci. 29 (2002),
239-244.
[24] F. Luca and A. Togbé, On the Diophantine equation 
Fibonacci Quart. 54(4) (2007), 322-326.
[25] F. Luca and A. Togbé, On the Diophantine equation 
Int. J. Number Theory 4 (2008), 973-979.
[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.
[27] T. Nagell, Losning til oppgave nr 2, 1943, s. 29, Nordisk Mat.
Tidskr 30 (1948), 62-64.
[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.
