{"title":"关于联立Pell方程x2−(a2−1)y2=1和y2−pz2=1的猜想。","authors":"Michael C. I. Nwogugu","doi":"10.2139/ssrn.3610352","DOIUrl":null,"url":null,"abstract":"This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.","PeriodicalId":394523,"journal":{"name":"CompSciRN: Computing Tools (Topic)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Conjectures About The Simultaneous Pell Equations x2−(a2−1)y2=1 and y2−pz2=1.\",\"authors\":\"Michael C. I. Nwogugu\",\"doi\":\"10.2139/ssrn.3610352\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.\",\"PeriodicalId\":394523,\"journal\":{\"name\":\"CompSciRN: Computing Tools (Topic)\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CompSciRN: Computing Tools (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3610352\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CompSciRN: Computing Tools (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3610352","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Conjectures About The Simultaneous Pell Equations x2−(a2−1)y2=1 and y2−pz2=1.
This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.