{"title":"Motivated exposition of combinatorial Nullstellensatz","authors":"M. Lozhkin, A. Skopenkov","doi":"arxiv-2404.10778","DOIUrl":null,"url":null,"abstract":"In this expository note we show how combinatorial Nullstellensatz by N. Alon\nnaturally appears in solutions of elementary problems. Simple ideas gradually\nand naturally appear in such solutions, thus bringing a reader to\ngeneralizations. The note is accessible to mathematicians not specialized in\nthe area, and to students familiar with polynomials.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.10778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this expository note we show how combinatorial Nullstellensatz by N. Alon
naturally appears in solutions of elementary problems. Simple ideas gradually
and naturally appear in such solutions, thus bringing a reader to
generalizations. The note is accessible to mathematicians not specialized in
the area, and to students familiar with polynomials.
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