{"title":"具有k-广义Fibonacci分量的马尔可夫三元组","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":"{\"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}","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
摘要
我们找到k-Fibonacci数的所有三元组(x, y, z)，它们满足马尔可夫方程x + y + z = 3xyz。本文继续并扩展了Luca和Srinivasan[6]之前的工作。
Markov triples with k-generalized Fibonacci components
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].
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