-
(with He B.)
A remark on the generalized Ramanujan-Nagell
equation x2 - D = kn Accepted to appear in
Annales des sciences mathématiques du Québec.
-
(with He B., Walsh P. G ) On the size of
the intersection of two Lucas sequences of distinct type.
Accepted to appear in
Annales des sciences mathématiques du Québec.
-
(with He B.) On the number of solutions of the
Diophantine equation
axm
- byn = c.
Accepted to appear in
the Bulletin of the Australian Mathematical Society.
-
(with He B.)
On the positive integer solutions of the
exponential Diophantine equation ax+(3a2-1)y=(4a2-1)z.
Accepted to appear in Advances in Mathematics (Chinese).
-
(with
Filipin A)
On the family of Diophantine triples {k+2, 4k, 9k+6}.
Accepted to appear in Acta
Mathematica Academiae Paedagogicae Nyiregyhaziensis.
-
(with He B.) On the D(-1) triple {1, k2+1, k2+2k+2}
and its unique D(1)-extension.
-
(Ulas
M.) On the Diophantine
equation z2 = f(x)2 ± f(y)2.
Accepted to appear in
Publicationes Mathematicae Debrecen.
-
(with
Luca F., Tengely S.) On the
Diophantine Equation x2 + C = 4yn.
Accepted to appear in Annales des sciences mathématiques du
Québec.
-
(with
Kihel O., Luca F.,) Variants of
the Diophantine Equation n! + 1 = y2. Accepted to
appear in Portugaliae Mathematica.
-
(with B. He, B. Jadrijevic) Solutions of a class of
quartic Thue inequalities. Accepted to appear in
Glas. Mat. Ser. III.
-
(with F. Luca, P. Stanica) On a Diophantine equation of
Stroeker. Accepted to appear Bulletin of the
Belgian Mathematical Society, Simon Stevin. .
-
(with Florian Luca) On the Diophantine Equation x4
- q4 = py3. Accepted to appear in
Rocky Mountain Journal of Mathematics.
-
(with B. He) The Diophantine equation nx
+
(n+1)y = (n+2)z revisited.
The Glasgow Mathematical Journal,
Volume 51, Issue 03, September 2009, 659-667.
-
(with Yang S., He H.), A 2×2 Lattice space-time code of
the highest rank. Proceedings of the American Mathematical
Society, 137 (2009), 3601-3607.
-
On the positive
integral solutions of the Diophantine equation x3 + by +
4 – xyz = 0. African
Diaspora Journal of Mathematics,
8
(2009), No.
1, 81-89.
-
(with B. He) On a family of Diophantine triples {k, A2k+2A
,(A+1)2k+2(A+1)} with two parameters.
Acta Mathematica Hungarica., 124 (1-2) (2009),
99-113.
-
(with F. Luca) On the Diophantine equation x2 +
2a 13b = yn. Colloquium
Mathematicum, 116
(2009), 139-146.
-
(with S. Akhtari, P. G. Walsh)
Addendum on the equation
aX4 - bY2=2. Acta Arithmetica
137
(2009), 199-202.
-
(with Bo He) On the family of Diophantine triples {k+1,
4k, 9k+3}, Periodica Mathematica Hungarica, 58 (1) (2009),
59-70.
-
(with Bo He, G. P. Walsh) On the Diophantine equation X2
– (22m +1)Y4=-22m. Publ.
Math. Debrecen, 73/3-4 (2008) 417-420.
-
(with Bo He) Simultaneous Pellian equations with a single
or no solution, Acta Arith. 134 (2008), 369-380.
-
(with Bo He) On the number of solutions of Goormaghtigh
equation for given x and y, Indag. Mathem., N.S., 19 (1)
(2008), 65-72.
-
On the solutions of
a parametric family of cubic Thue equations.
Bull Braz Math Soc, New Series 39 (4) (2008), 537-554.
-
(with Florian Luca) On the positive integral solutions of
the Diophantine equation x3 + by + 1 - xyz=0. Bull.
Malays. Math. Sci. Soc. (2) 31 (2) (2008), 129–134.
-
(With Florian Luca) On the Diophantine equation x2
+ 2a 5b = yn. Int. J. Number
Theory, 4, (6) (2008), 973-979.
-
(with Edray Goins and Florian Luca)
On the Diophantine
Equation x2 + 2α 5β 13γ
= yn. ANTS VIII Proceedings: A.J. van der Poorten and
A. Stein (eds.), ANTS VIII, Lecture Notes in Computer Science 5011
(2008), 430-442.
-
(With Florian Luca) On binary palindromes of the form 10n
± 1. C. R. Acad. Sci. Paris, Ser. I 346 (2008) 487–489.
-
(With Florian Luca) On the numbers of the form ± x2
± y! Diophantine Equation, Editor: N. Saradha, Narosa
Publishing House, (2008), pp. 135-149.
-
(With S. Akhtari, P.G. Walsh) On the equation aX4
- bY2 = 2.. Acta Arith. 131 (2008), 145-169.
-
(With Fadwa S. Abu Muriefah and Florian Luca)
On the
Diophantine equation x2 + 5a 13b =
yn. The Glasgow
Mathematical Journal, Volume 50, Issue 01, January 2008, pp
175-181.
-
(With Florian Luca) On the Diophantine equation x2
+ 72k = yn. The Fibonacci Quarterly Vol.
54.4 (2007) 322-326.
-
(with Edray Goins) On Pythagorean Quadruplets.
International Journal of Pure and Applied Mathematics, Volume 35,
No. 3 (2007), 363-372.
-
A parametric family
of sextic Thue equations.
Acta Arith. 125 (2006), 347-361.
-
A Note on the
Diophantine Equation x! + A = y2II.
International Journal of
Applied Mathematics & Statistics, Vol. 6, No. D06 (2006),
25-32.
-
Complete Solutions
of a Family of Cubic Thue Equations,
Journal de Theorie des Nombres de Bordeaux 18 (2006), 285-298.
-
(With M. Bennett, G. P. Walsh)
A generalization of a
theorem of Bumby on quartic Diophantine equations.
International Journal of Number Theory, Vol. 2, No. 2 (June 2006)
195-206.
-
A Note on the
Diophantine Equation x2 + D = pn
, RJooiA, Transactions on Mathematics, Spring 2006, pp. 125-129.
-
On the solutions of
a family of quartic Thue equations II.
C. R. Math. Rep. Acad. Sci. Canada Vol. 28. (1), 2006 pp. 24-32.
-
A Note on the
Diophantine Equation x! + A = y2.
International Journal of
Pure and Applied Mathematics, Volume 26, No. 4 (2006), 565-571.
-
(With P. M. Voutier, G. P. Walsh)
Solving a family of Thue
equations with an application to the equation x2 – Dy4
= 1. Acta Arithmetica 120 (2005), 39-5
-
(With C. Heuberger and
V. Ziegler) Automatic solution of families of Thue equations and an
example degree 8, J. Symbolic Computation
38
(2004), Issue 3, 1145-1163.
-
A Parametric Family
of Cubic Thue Equations,
J. Number Theory 107
(2004), 63-79.
-
On the solutions of
a family of sextic equations,
Number Theory for the Millennial, Bruce Berndt, et. al., editors,
A.K. Peters Ltd, 2002, Volume III, 285-299.
-
On the solutions of
a family of quartic equations,
Math. Comp. 69 (2000), 839-849.
-
On binary quadratic
forms, Proceedings of the
11th Conference of ACMS, 1997, 125-135.
