{"title":"Markov triples with k-generalized Fibonacci components","authors":"C. A. Gómez, Jhonny C. Gómez, F. Luca","doi":"10.33039/ami.2020.06.001","DOIUrl":null,"url":null,"abstract":"We find all triples (x, y, z) of k-Fibonacci numbers which satisfy the Markov equation x + y + z = 3xyz. This paper continues and extends previous work by Luca and Srinivasan [6].","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":"16 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/ami.2020.06.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We find all triples (x, y, z) of k-Fibonacci numbers which satisfy the Markov equation x + y + z = 3xyz. This paper continues and extends previous work by Luca and Srinivasan [6].