{"paper":{"title":"Un r\\'esultat de recherche obtenu gr\\^ace \\`a des lyc\\'eens","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Giancarlo Lucchini Arteche, Thomas Budzinski","submitted_at":"2016-09-16T09:25:11Z","abstract_excerpt":"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\".\n  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 d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04964","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}