Two divisors of (n 2 +1)/2 summing up to n+1
Journal de théorie des nombres de Bordeaux, Tome 19 (2007) no. 3, pp. 561-566.

Dans cette courte note, on donne une réponse affirmative à une question d’Ayad posée dans [1].

In this short note, we give an affirmative answer to a question of Ayad from [1].

DOI : 10.5802/jtnb.602
Ayad, Mohamed 1 ; Luca, Florian 2

1 Laboratoire de Mathématiques Pures et Appliquées Université du Littoral F-62228 Calais, France
2 Florian Luca Instituto de Matemáticas Universidad Nacional Autonoma de México C.P. 58089, Morelia, Michoacán, México
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Ayad, Mohamed; Luca, Florian. Two divisors of $(n^2+1)/2$ summing up to $n+1$. Journal de théorie des nombres de Bordeaux, Tome 19 (2007) no. 3, pp. 561-566. doi : 10.5802/jtnb.602. http://www.numdam.org/articles/10.5802/jtnb.602/

[1] M. Ayad, Critical points, critical values of a prime polynomial. Complex Var. Elliptic Equ. 51 (2006), 143–160. | MR | Zbl

[2] Yu. F. Bilu, B. Brindza, P. Kirschenhofer, A. Pintér and R. F. Tichy, Diophantine equations and Bernoulli polynomials. With an appendix by A. Schinzel. Compositio Math. 131 (2002), 173–188. | MR | Zbl

[3] Yu. F. Bilu and R. F. Tichy, The Diophantine equation f(x)=g(y). Acta Arith. 95 (2000), 261–288. | MR | Zbl

[4] Y. Bugeaud and F. Luca, On Pillai’s Diophantine equation. New York J. Math. 12 (2006), 193–217.

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