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arXiv · 1609.04964

Un r\'esultat de recherche obtenu gr\^ace \`a des lyc\'eens

Thomas Budzinski·Giancarlo Lucchini Arteche
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Abstract

We give an elementary proof of a question asked by Fouvry, Kowalski and Michel on the solutions of the equation $x+\frac{1}{x}+y+\frac{1}{y}+t=0$ over a finite field, using the results obtained by highschool students during their participation at the maths tournament "Tournoi Fran\c{c}ais des Jeunes Math\'ematiciennes et Math\'ematiciens". Nous pr\'esentons une d\'emonstration \'el\'ementaire d'une question pos\'ee par Fouvry, Kowalski et Michel sur les solutions de l'\'equation $x+\frac{1}{x}+y+\frac{1}{y}+t=0$ sur un corps fini, en utilisant des r\'esultats obtenus par des lyc\'eens lors de leur participation au Tournoi Fran\c{c}ais des Jeunes Math\'ematiciennes et Math\'ematiciens.

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Thomas Budzinski, Giancarlo Lucchini Arteche. 2016-09-16. Un r\'esultat de recherche obtenu gr\^ace \`a des lyc\'eens. https://arxiv.org/abs/1609.04964

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