{"title":"短间隔的哥德巴赫数","authors":"Li Hongze","doi":"10.1360/YA1995-38-6-641","DOIUrl":null,"url":null,"abstract":"Suppose B is a sufficiently large positive constant, e is a sufficiently small positive constant, N is a sufficiently large natural number, and A = N 7/81+e. It is proved that all even numbers in ( N, N + A ) with O(Alog-BN) exceptions are Goldbach numbers.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Goldbach numbers in short intervals\",\"authors\":\"Li Hongze\",\"doi\":\"10.1360/YA1995-38-6-641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Suppose B is a sufficiently large positive constant, e is a sufficiently small positive constant, N is a sufficiently large natural number, and A = N 7/81+e. It is proved that all even numbers in ( N, N + A ) with O(Alog-BN) exceptions are Goldbach numbers.\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/YA1995-38-6-641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/YA1995-38-6-641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
摘要
假设B是一个足够大的正常数,e是一个足够小的正常数,N是一个足够大的自然数,a = N 7/81+e。证明了(N, N + A)中除0 (Alog-BN)个例外的所有偶数都是哥德巴赫数。
Suppose B is a sufficiently large positive constant, e is a sufficiently small positive constant, N is a sufficiently large natural number, and A = N 7/81+e. It is proved that all even numbers in ( N, N + A ) with O(Alog-BN) exceptions are Goldbach numbers.