{"title":"方程(pa n +qb n =pc n +qd n)的参数解，其中“n”代表2、3、4、5、6、7、8、9次","authors":"S. Tomita, Oliver Couto","doi":"10.13189/ujam.2017.050102","DOIUrl":null,"url":null,"abstract":"Historically equation ( pan+qbn+rcn=pun+qvn+rwn ) has been studied for degree 2, 3, 4 etc., and equation (pan+qbn=pcn+qdn ) herein called equation (1) has been published for n=4 ,p=1,q=4 (Ref.no. 1) by Ajai Choudhry. Also Tito Piezas & others has discussed about equation (1) (Ref. no. 3 & 2). While Ref. no. (1, 2 & 3) deals with equation no. (1) for degree n=4 this paper has provided parametric solutions for degree n=2, 3, 4, 5, 6, 7, 8 & 9. Also there are instances in this paper where parametric solutions have been arrived at using different methods.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parametric Solutions to Equation (pa n +qb n =pc n +qd n ) Where 'n' Stands for Degree 2, 3, 4, 5, 6, 7, 8 & 9\",\"authors\":\"S. Tomita, Oliver Couto\",\"doi\":\"10.13189/ujam.2017.050102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Historically equation ( pan+qbn+rcn=pun+qvn+rwn ) has been studied for degree 2, 3, 4 etc., and equation (pan+qbn=pcn+qdn ) herein called equation (1) has been published for n=4 ,p=1,q=4 (Ref.no. 1) by Ajai Choudhry. Also Tito Piezas & others has discussed about equation (1) (Ref. no. 3 & 2). While Ref. no. (1, 2 & 3) deals with equation no. (1) for degree n=4 this paper has provided parametric solutions for degree n=2, 3, 4, 5, 6, 7, 8 & 9. Also there are instances in this paper where parametric solutions have been arrived at using different methods.\",\"PeriodicalId\":372283,\"journal\":{\"name\":\"Universal Journal of Applied Mathematics\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Universal Journal of Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.13189/ujam.2017.050102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13189/ujam.2017.050102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parametric Solutions to Equation (pa n +qb n =pc n +qd n ) Where 'n' Stands for Degree 2, 3, 4, 5, 6, 7, 8 & 9
Historically equation ( pan+qbn+rcn=pun+qvn+rwn ) has been studied for degree 2, 3, 4 etc., and equation (pan+qbn=pcn+qdn ) herein called equation (1) has been published for n=4 ,p=1,q=4 (Ref.no. 1) by Ajai Choudhry. Also Tito Piezas & others has discussed about equation (1) (Ref. no. 3 & 2). While Ref. no. (1, 2 & 3) deals with equation no. (1) for degree n=4 this paper has provided parametric solutions for degree n=2, 3, 4, 5, 6, 7, 8 & 9. Also there are instances in this paper where parametric solutions have been arrived at using different methods.
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