与线性二元递归相关的丢番图方程

IF 0.4 Q4 MATHEMATICS Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-04-01 DOI:10.52547/ijmsi.17.1.11

I. Akkus, E. Kılıç, N. Omur

{"title":"与线性二元递归相关的丢番图方程","authors":"I. Akkus, E. Kılıç, N. Omur","doi":"10.52547/ijmsi.17.1.11","DOIUrl":null,"url":null,"abstract":". In this paper we ﬁnd all solutions of four kinds of the Diophantine equations x 2 ± V t xy − y 2 ± x = 0 and x 2 ± V t xy − y 2 ± y = 0 , for an odd number t , and, x 2 ± V t xy + y 2 − x = 0 and x 2 ± V t xy + y 2 − y = 0 , for an even number t , where V n is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diophantine Equations Related with Linear Binary Recurrences\",\"authors\":\"I. Akkus, E. Kılıç, N. Omur\",\"doi\":\"10.52547/ijmsi.17.1.11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we ﬁnd all solutions of four kinds of the Diophantine equations x 2 ± V t xy − y 2 ± x = 0 and x 2 ± V t xy − y 2 ± y = 0 , for an odd number t , and, x 2 ± V t xy + y 2 − x = 0 and x 2 ± V t xy + y 2 − y = 0 , for an even number t , where V n is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.\",\"PeriodicalId\":43670,\"journal\":{\"name\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52547/ijmsi.17.1.11\",\"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":"Iranian Journal of Mathematical Sciences and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52547/ijmsi.17.1.11","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: 0

摘要

在本文中，我们得到了四类丢番图方程x2±V t xy−y 2±x=0和x2±V t xy−y 1±y=0的所有解，对于奇数t，x 2±V t xy+y 2−x=0和x 2±Vt xy+y2−y=0，对于偶数t，其中Vn是广义Lucas数。本文继续并扩展了Bahramian和Daghigh的先前工作。

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 Equations Related with Linear Binary Recurrences

. In this paper we ﬁnd all solutions of four kinds of the Diophantine equations x 2 ± V t xy − y 2 ± x = 0 and x 2 ± V t xy − y 2 ± y = 0 , for an odd number t , and, x 2 ± V t xy + y 2 − x = 0 and x 2 ± V t xy + y 2 − y = 0 , for an even number t , where V n is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.

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