{"title":"DIOPHANTINE TRIPLES WITH VALUES IN BINARY RECURRENCES","authors":"C. Fuchs, F. Luca, L. Szalay","doi":"10.2422/2036-2145.2008.4.01","DOIUrl":null,"url":null,"abstract":"In this paper, we study triples a; b and c of distinct positive integers such that ab + 1; ac + 1 and bc + 1 are all three members of the same binary recurrence sequence.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"18 1","pages":"579-608"},"PeriodicalIF":1.2000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2422/2036-2145.2008.4.01","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 28
Abstract
In this paper, we study triples a; b and c of distinct positive integers such that ab + 1; ac + 1 and bc + 1 are all three members of the same binary recurrence sequence.
期刊介绍：
The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication.
The Annals of the Normale Scuola di Pisa - Science Class is published quarterly
Soft cover, 17x24
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