{"title":"范数剩余符号的新显式公式及其应用","authors":"L. Kuz'min","doi":"10.1070/IM1991V037N03ABEH002159","DOIUrl":null,"url":null,"abstract":"The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in Zl-extensions. Several applications of this formula to a conjecture on the l-adic regulator are given.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"15 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"NEW EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL, AND THEIR APPLICATIONS\",\"authors\":\"L. Kuz'min\",\"doi\":\"10.1070/IM1991V037N03ABEH002159\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in Zl-extensions. Several applications of this formula to a conjecture on the l-adic regulator are given.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"15 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1991V037N03ABEH002159\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V037N03ABEH002159","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
NEW EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL, AND THEIR APPLICATIONS
The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in Zl-extensions. Several applications of this formula to a conjecture on the l-adic regulator are given.