In this short note, we give an affirmative answer to a question of Ayad from [1].
Dans cette courte note, on donne une réponse affirmative à une question d’Ayad posée dans [1].
@article{JTNB_2007__19_3_561_0,
author = {Ayad, Mohamed and Luca, Florian},
title = {Two divisors of $(n^2+1)/2$ summing up to $n+1$},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {561--566},
year = {2007},
publisher = {Universit\'e Bordeaux 1},
volume = {19},
number = {3},
doi = {10.5802/jtnb.602},
zbl = {1161.11004},
mrnumber = {2388788},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jtnb.602/}
}
TY - JOUR AU - Ayad, Mohamed AU - Luca, Florian TI - Two divisors of $(n^2+1)/2$ summing up to $n+1$ JO - Journal de théorie des nombres de Bordeaux PY - 2007 SP - 561 EP - 566 VL - 19 IS - 3 PB - Université Bordeaux 1 UR - https://www.numdam.org/articles/10.5802/jtnb.602/ DO - 10.5802/jtnb.602 LA - en ID - JTNB_2007__19_3_561_0 ER -
%0 Journal Article %A Ayad, Mohamed %A Luca, Florian %T Two divisors of $(n^2+1)/2$ summing up to $n+1$ %J Journal de théorie des nombres de Bordeaux %D 2007 %P 561-566 %V 19 %N 3 %I Université Bordeaux 1 %U https://www.numdam.org/articles/10.5802/jtnb.602/ %R 10.5802/jtnb.602 %G en %F JTNB_2007__19_3_561_0
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
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[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. | Zbl | MR
[3] Yu. F. Bilu and R. F. Tichy, The Diophantine equation . Acta Arith. 95 (2000), 261–288. | Zbl | MR
[4] Y. Bugeaud and F. Luca, On Pillai’s Diophantine equation. New York J. Math. 12 (2006), 193–217.
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