{"title":"Square values of Littlewood polynomials","authors":"L. Hajdu, O. Herendi, Sz. Tengely, N. Varga","doi":"10.1007/s11139-024-00935-1","DOIUrl":null,"url":null,"abstract":"<p>We study the square values of Littlewood polynomials. Using various methods we give all these values for the degrees <span>\\(n=3, 5\\)</span> and <span>\\(n\\le 24\\)</span> even. Beside this, we gather computational data (by providing all solutions in a certain range) for <i>n</i> odd with <span>\\(n\\le 17\\)</span>. We propose some striking problems for further research, as well.\n</p>","PeriodicalId":501430,"journal":{"name":"The Ramanujan Journal","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Ramanujan Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11139-024-00935-1","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
We study the square values of Littlewood polynomials. Using various methods we give all these values for the degrees \(n=3, 5\) and \(n\le 24\) even. Beside this, we gather computational data (by providing all solutions in a certain range) for n odd with \(n\le 17\). We propose some striking problems for further research, as well.
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