Integral Points on Certain Elliptic Curves
Rendiconti del Seminario Matematico della Università di Padova, Tome 119 (2008), pp. 1-20. 
@article{RSMUP_2008__119__1_0,
     author = {Zhu, Hui Lin and Chen, Jian Hua},
     title = {Integral {Points} on {Certain} {Elliptic} {Curves}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--20},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {119},
     year = {2008},
     mrnumber = {2431504},
     zbl = {1244.11028},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2008__119__1_0/}
}
TY  - JOUR
AU  - Zhu, Hui Lin
AU  - Chen, Jian Hua
TI  - Integral Points on Certain Elliptic Curves
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2008
SP  - 1
EP  - 20
VL  - 119
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2008__119__1_0/
LA  - en
ID  - RSMUP_2008__119__1_0
ER  - 
%0 Journal Article
%A Zhu, Hui Lin
%A Chen, Jian Hua
%T Integral Points on Certain Elliptic Curves
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2008
%P 1-20
%V 119
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2008__119__1_0/
%G en
%F RSMUP_2008__119__1_0
Zhu, Hui Lin; Chen, Jian Hua. Integral Points on Certain Elliptic Curves. Rendiconti del Seminario Matematico della Università di Padova, Tome 119 (2008), pp. 1-20. http://archive.numdam.org/item/RSMUP_2008__119__1_0/

[1] A. Baker, Linear forms in the logarithms of algebraic number I, Mathematika, 13 (1966), pp. 204-216; II: ibid, 14 (1967), pp. 102-107; III: ibid, 14 (1967), pp. 220-228; IV: ibid, 15 (1968), pp. 204-216. | MR | Zbl

[2] R. J. Stroeker - N. Tzanakis, Solving Elliptic Diophantine Equations by Estimating Linear Forms in Elliptic Logarithms, Acta Arith., 29(2) (1994), pp. 177-196. | MR | Zbl

[3] R. J. Stroeker - N. Tzanakis, On the Elliptic Logarithm Method for Elliptic Diophantine Equations: Reflections and an Improvement, Experimental Mathemetics, 8(2) (1999), pp. 135-149. | MR | Zbl

[4] R. J. Stroeker - N. Tzanakis, Computing All Integer Solutions of a Genus 1 Equation, Math. Comp., 72 (2003), pp. 1917-1933. | MR | Zbl

[5] D. Zagier, Large Integral Point on Elliptic Curves, Math. Comp., 48(177) (1987), pp. 425-536. | MR | Zbl

[6] W. Ljunggren, A Diophantine Problem, Jour London Math. Soc., 3(2) (1971), pp. 385-391. | MR | Zbl

[7] J. H. Chen, A Note on the Diophantine Equation x 2 +1=dy 4 , Abh. Math. Sem. Univ. Hamburg, 64 (1994), pp. 1-10. | MR

[8] K. Q. Feng, Algebraic Number Theory, Science Press, 2000 (Chinese).

[9] L. G. Hua, Introduction to Number Theory, Science Press, 1979 (Chinese). | Zbl

[10] R. J. Stroeker - N. Tzanakis, On the Application of skolem's p -adic Method to the solution of Thue Equations, Journal of Number Theory, 29 (1988), pp. 166-195. | MR | Zbl

[11] W. Ljunggren, Solution complete de quelquls equations du sixieme, degre a deux indeterminees, Arch. Math., 48(7) (1946), pp. 26-29. | MR | Zbl

[12] N. Tzanakis, On the Diophantine equation x 2 - d y 4 = k , Acta Arith., 46(3) (1986), pp. 257-269. | Zbl

[13] L. J. Mordell, Diophantine Equations, London: Academic Press, 1969. | MR | Zbl

[14] Z. F. Cao - S. Z. Mu - X. L. Dong, A New Proof of a Conjecture of Antoniadis, Jour Number Theory, 83 (2000), pp. 185-193. | MR | Zbl

[15] J. Buchmann, A generalization of Voronoi's unit algorithm (I II), Jour. Number Theory, 20 (1985), pp. 177-209. | MR | Zbl

[16] J. Buchmann, The Computation of the Fundamental Unit of Totally Comples Quartic Orders, Math. Comp., 48(177) (1987), pp. 39-54. | MR | Zbl