{"title":"Polynomial congruences over incomplete residue systems, modulo k","authors":"J.H.H. Chalk","doi":"10.1016/S1385-7258(89)80016-2","DOIUrl":null,"url":null,"abstract":"<div><p>This is a sequel to the previous article (Proceedings Kon. Ned. Akad. van Wetensch., <strong>A 83</strong> (4), (1980), 367–374, see MR, 82d: 10053, 10G10.) on the Mordell and Tietäväinen inequalities for the distribution of zeros of polynomial congruences in incomplete residue systems <em>modulo k</em>. Here the emphasis is on composite k and applies to a general class of polynomials satisfying mild conditions of non-degeneracy for each prime <em>p</em>∣<em>k</em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 49-62"},"PeriodicalIF":0.0000,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80016-2","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725889800162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
This is a sequel to the previous article (Proceedings Kon. Ned. Akad. van Wetensch., A 83 (4), (1980), 367–374, see MR, 82d: 10053, 10G10.) on the Mordell and Tietäväinen inequalities for the distribution of zeros of polynomial congruences in incomplete residue systems modulo k. Here the emphasis is on composite k and applies to a general class of polynomials satisfying mild conditions of non-degeneracy for each prime p∣k.
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