1 |
Cs. Bertok, The complete solution of the Diophantine equation , Period. Math. Hung. 72 (2016), 37-42.
DOI
|
2 |
W. Bosma, J. Cannon, Handbook of Magma functions, Department of Mathematics, University of Sydney, http://magma.math.usyd.edu.au/magma/
|
3 |
Y. Bugeaud, Linear forms in p-adic logarithms and the Diophantine equation , Math. Proc. Camb. Philos. Soc. 127 (1999), 373-381.
DOI
|
4 |
Z. Cao, A note on the Diophantine equation , Acta Arith. 91 (1999), 85-93.
DOI
|
5 |
Z. Cao and X. Dong, An application of a lower bound for linear forms in two logarithms to the Terai-Jesmanowicz conjecture, Acta Arith. 110 (2003), 153-164.
DOI
|
6 |
M. Cipu and M. Mignotte, On a conjecture exponential Diophantine equations, Acta Arith. 140 (2009), 251-270.
DOI
|
7 |
H. Darmon and L. Merel, Winding quotients and some variants of Fermat's Last Theorem, J. Reine. Angew. Math. 490 (1997), 81-100.
|
8 |
J. Ellenberg, Galois representations attached to Q-curves and generalized Fermat equation , Amer. J. Math. 126 (2004), 763-787.
DOI
|
9 |
R. Fu, H. Yang, On the exponential Diophantine equation with c m, Period. Math. Hung. 75 (2017), 143-149.
DOI
|
10 |
A. O. Gel'fond, Sur la divisibilite de la difference des puissances de deux nombres entiers par une puissance d'un ideal premier, Math. Sb. 7 (1940), 7-25.
|
11 |
T. Hadano, On the Diophantine equation , Math. J. Okayama University 19 (1976), 1-5.
|
12 |
L. Jesmanowicz, Some remarks on Pythagorean numbers, Wiadom Math. 1 (1955-1956), 196-202.
|
13 |
A. Y. Khincin, Continued Fractions 3rd edition, P. Noordhoff Ltd, Graningen 1963.
|
14 |
E. Kizildere, T. Miyazaki, G. Soydan, On the Diophantine equation , Turkish J. of Math. 42 (2018), 2690-2698.
DOI
|
15 |
M. Laurent, Linear forms in two logarithms and interpolation determinants II, Acta Arith. 133 (2008), 325-348.
DOI
|
16 |
M. Le, On Terai's conjecture concerning Diophantine equation , Acta Math. Sinica, Eng. Ser. 46 (2003), 245-250.
|
17 |
M. Le, A conjecture concerning the pure exponential Diophantine equation , Acta Math. Sinica, Eng. Ser. 21 (2005), 943-948.
DOI
|
18 |
K. Mahler, Zur approximation algebraischer Zahlen I: Uber den grossten Primteiler binaer formen, Math. Ann. 107 (1933), 691-730.
DOI
|
19 |
T. Miyazaki, Exceptional cases of Terai's conjecture on Diophantine equations, Arch. Math. (Basel) 95 (2010), 519-527.
DOI
|
20 |
T. Miyazaki, Terai's conjecture on exponential Diophantine equations, Int. J. Number Theory 7 (2011), 981-999.
DOI
|
21 |
T. Miyazaki, N. Terai, On the exponential Diophantine equation , Bull. Aust. Math. Soc. 90 (2014), 9-19.
DOI
|
22 |
T. Nagell, Sur une classe d'equations exponentielles, Ark. Math. 3 (1958), 569-582.
DOI
|
23 |
X. Pan, A note on the exponential Diophantine equation , Colloq. Math. 149 (2017), 265-273.
DOI
|
24 |
G. Soydan, M. Demirci, I. N. Cangul, A. Togbe, On the conjecture of Jesmanowicz, Int. J. of Appl. Math. and Stat. 56 (2017), 46-72.
|
25 |
J. Su, X. Li, The exponential Diophantine equation , Abstr. Appl. Anal., 2014 (2014), 1-5.
|
26 |
N. Terai, The Diophantine equation , Proc. Japan. Ser. A Math. Sci. 70 (1994), 22-26.
|
27 |
N. Terai, On the exponential Diophantine equation , Int. J. Algebra 6 (2012), 1135-1146.
|
28 |
N. Terai, T. Hibino, On the exponential Diophantine equation , Int. J. Algebra 9 (2015), 261-272.
DOI
|
29 |
N. Terai, T. Hibino, On the exponential Diophantine equation , Period. Math. Hung. 74 (2017), 227-234.
DOI
|
30 |
S. Uchiyama, On the Diophantine equation , Math. J. Okayama Univ. 19 (1976), 31-38.
|
31 |
J. Wang, T. Wang and W. Zhang, A note on the exponential Diophantine equation , Colloq. Math. 139 (2015), 121-126.
DOI
|
32 |
N. Terai, Applications of a lower bound for linear forms in two logarithms to exponential Diophantine equations, Acta. Arith. 90 (1999), 17-35.
DOI
|