{"title":"关于格雷厄姆猜想初等证明的注解","authors":"Wei Ren","doi":"10.1080/09720529.2021.1995221","DOIUrl":null,"url":null,"abstract":"Abstract We prove Graham conjecture for some cases only by elementary methods in basic number theory. Extensive notes and remarks on new results on searching for the elementary proof of Graham conjecture are presented and discussed, e.g., by induction or directed graph.","PeriodicalId":46563,"journal":{"name":"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY","volume":"139 2","pages":"1899 - 1921"},"PeriodicalIF":1.2000,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Notes on elementary proof of Graham conjecture\",\"authors\":\"Wei Ren\",\"doi\":\"10.1080/09720529.2021.1995221\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We prove Graham conjecture for some cases only by elementary methods in basic number theory. Extensive notes and remarks on new results on searching for the elementary proof of Graham conjecture are presented and discussed, e.g., by induction or directed graph.\",\"PeriodicalId\":46563,\"journal\":{\"name\":\"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY\",\"volume\":\"139 2\",\"pages\":\"1899 - 1921\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/09720529.2021.1995221\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/09720529.2021.1995221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Abstract We prove Graham conjecture for some cases only by elementary methods in basic number theory. Extensive notes and remarks on new results on searching for the elementary proof of Graham conjecture are presented and discussed, e.g., by induction or directed graph.