{"title":"关于某些Jacobi和的r -进值","authors":"V. Arul","doi":"10.5802/jtnb.1171","DOIUrl":null,"url":null,"abstract":"Jacobi sums are ubiquitous in number theory, and congruences often provide a helpful way to study them. A p-adic congruence for Jacobi sums comes from Stickelberger’s congruence, and various `-adic congruences have been studied in [Eva98], [Mik87], [Iwa75], [Iha86], and [Ueh87]. We establish a new `-adic congruence for certain Jacobi sums.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2021-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On the ℓ-adic valuation of certain Jacobi sums\",\"authors\":\"V. Arul\",\"doi\":\"10.5802/jtnb.1171\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Jacobi sums are ubiquitous in number theory, and congruences often provide a helpful way to study them. A p-adic congruence for Jacobi sums comes from Stickelberger’s congruence, and various `-adic congruences have been studied in [Eva98], [Mik87], [Iwa75], [Iha86], and [Ueh87]. We establish a new `-adic congruence for certain Jacobi sums.\",\"PeriodicalId\":48896,\"journal\":{\"name\":\"Journal De Theorie Des Nombres De Bordeaux\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal De Theorie Des Nombres De Bordeaux\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5802/jtnb.1171\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Theorie Des Nombres De Bordeaux","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/jtnb.1171","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Jacobi sums are ubiquitous in number theory, and congruences often provide a helpful way to study them. A p-adic congruence for Jacobi sums comes from Stickelberger’s congruence, and various `-adic congruences have been studied in [Eva98], [Mik87], [Iwa75], [Iha86], and [Ueh87]. We establish a new `-adic congruence for certain Jacobi sums.
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