{"title":"Littlewood 多项式的平方值","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":"{\"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}","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
摘要
我们研究了利特尔伍德多项式的平方值。使用各种方法,我们给出了偶数度(n=3, 5)和(nle 24)的所有这些值。除此之外,我们还收集了 n 为奇数且 \(n\le 17\) 时的计算数据(通过提供一定范围内的所有解)。我们还提出了一些值得进一步研究的问题。
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.