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Education
Ph.D., Algebraic Number Theory, Laval University, Quebec, Canada, 1997
M.S., Algebraic Number Theory, Laval University, Quebec, Canada, 1994
DEA, Differential Geometry,
University of Abidjan, Ivory Coast, 1988. B.S., Mathematics,
National University of Benin, Abomey-Calavi, Benin, 1984 |
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Research
Interests:
Diophantine equations, especially Thue equations
Publications:
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(with Bo He) Simultaneous Pellian equations with a single or
no solution, Accepted.
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(with Bo He) On the number of solutions of Goormaghtigh
equation for given x and y, Accepted.
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On the solutions of a parametric family of cubic Thue
equations. Accepted.
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(with Edray Goins and Florian Luca) On the Diophantine
Equation x2 + 2 α
5β 13γ =
yn. Accepted.
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(with Florian Luca) On the positive integral
solutions of the Diophantine equation x3 + by + 1 - xyz=0. Accepted.
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(with Florian Luca) On the Diophantine Equation
x4 - q4 = py3. Accepted.
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(with Florian Luca) On the Diophantine
equation x2 + 72k = yn. Accepted.
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(with Florian Luca) On the Diophantine
equation x2 + 2a 5b = yn. Accepted.
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(with Florian Luca) On binary palindromes of the
form 10n ± 1.
C. R. Acad. Sci. Paris, Ser. I 346 (2008)
487–489.
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(with Florian Luca) On the numbers of the
form ± x2 ±
y!. In Diophantine Equation, Editor: N. Saradha, Narosa Publishing
House, (2008), pp. 135-149.
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(with S. Akhtari, P. G. Walsh) The
Diophantine equation aX4 - bY2=2. Acta Arith. 131
(2008), 145-169.
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(with Fadwa S. Abu Muriefah and Florian Luca) On the
Diophantine
equation x2 + 5a 13b = yn,
Glasgow Mathematical Journal, Volume 50, Issue 01, January 2008, pp 175-181
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(with Edray Goins) On Pythagorean
Quadruplets. International Journal of Pure and Applied Mathematics, Volume
35, No. 3
(2007), 363-372.
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A parametric family of sextic Thue equations.
Acta Arith. 125 (2006), 347-361.
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A Note on the Diophantine Equation x! + A = y2,
II.
International Journal of Applied Mathematics & Statistics,
Vol. 6, No. D06 (2006),
25-32.
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Complete Solutions of a Family of Cubic
Thue Equations, Journal de Theorie des Nombres de Bordeaux 18 (2006),
285-298.
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(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 (2006) 195-206.
- A Note on the Diophantine Equation x2 +
D = pn , RJooiA,
Transactions on Mathematics, Spring 2006, pp. 125-129.
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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.
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A Note on the Diophantine Equation x! + A = y2.
International Journal of Pure and Applied Mathematics, Volume 26, No. 4
(2006), 565-571.
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(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), 39-58.
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(with C. Heuberger and V. Ziegler) Automatic solution of families of Thue equations and an example degree 8,
Journal of Symbolic Computation 38 (2004), Issue 3, 1145-1163.
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A Parametric Family of Cubic Thue
Equations, Journal Number Theory 107 (2004), 63-79.
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On the solutions of a family of sextic
Thue
equations, Number Theory for the Millennial, Bruce Berndt, et. al., editors,
A.K. Peters Ltd, 2002, Volume III, 285-299.
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On the solutions of a family of quartic
Thue equations, Math. Comp. 69 (2000),
839-849.
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On binary quadratic forms,
Proceedings of the 11th Conference of ACMS, 1997, 125-135.
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