{"title":"Ax’s theorem with an additive character","authors":"E. Hrushovski","doi":"10.4171/emss/47","DOIUrl":null,"url":null,"abstract":"Motivated by Emmanuel Kowalski's exponential sums over definable sets in finite fields, we generalize theorems of Ax and Chatzidakis-Van den Dries-Macintyre to pseudo-finite fields with an additive character, in a continuous logic setting.","PeriodicalId":43833,"journal":{"name":"EMS Surveys in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2019-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EMS Surveys in Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/emss/47","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
Motivated by Emmanuel Kowalski's exponential sums over definable sets in finite fields, we generalize theorems of Ax and Chatzidakis-Van den Dries-Macintyre to pseudo-finite fields with an additive character, in a continuous logic setting.
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