具有二进制递归值的丢番图三元组

IF 1.2 2区数学 Q1 MATHEMATICS Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2008-01-01 DOI:10.2422/2036-2145.2008.4.01

C. Fuchs, F. Luca, L. Szalay

{"title":"具有二进制递归值的丢番图三元组","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":"{\"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}","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

摘要

本文主要研究三元组a;B和c的不同正整数使得ab + 1;Ac + 1和BC + 1都是同一个二元递归序列的三个元素。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

DIOPHANTINE TRIPLES WITH VALUES IN BINARY RECURRENCES

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

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

期刊最新文献

Kakeya maximal inequality in the Heisenberg group Reading analytic invariants of parabolic diffeomorphisms from their orbits Generalised Rado and Roth Criteria Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\R^n$ Maps of bounded variation from PI spaces to metric spaces