{"title":"关于丢番图方程ax +(a +2)y = z2其中a≡5 (mod 42)","authors":"Rakporn Dokchann, A. Pakapongpun","doi":"10.2478/tmmp-2020-0030","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we show that the Diophantine equation ax +(a +2)y = z2, where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"77 1","pages":"39 - 42"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Diophantine Equation ax +(a +2)y = z2 Where a ≡ 5 (mod 42)\",\"authors\":\"Rakporn Dokchann, A. Pakapongpun\",\"doi\":\"10.2478/tmmp-2020-0030\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we show that the Diophantine equation ax +(a +2)y = z2, where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.\",\"PeriodicalId\":38690,\"journal\":{\"name\":\"Tatra Mountains Mathematical Publications\",\"volume\":\"77 1\",\"pages\":\"39 - 42\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tatra Mountains Mathematical Publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/tmmp-2020-0030\",\"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":"Tatra Mountains Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/tmmp-2020-0030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
On the Diophantine Equation ax +(a +2)y = z2 Where a ≡ 5 (mod 42)
Abstract In this paper, we show that the Diophantine equation ax +(a +2)y = z2, where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.