{"title":"GAPS IN A SUMSET OF A POLYNOMIAL WITH ITSELF","authors":"A. Dubickas","doi":"10.59277/mrar.2023.25.75.2.313","DOIUrl":null,"url":null,"abstract":"In this note, we give some lower and upper bounds for the gaps between consecutive elements of an integer sequence whose elements are expressible in the form P(m) + P(n), where P is a degree d polynomial with integer coefficients, and m, n are nonnegative","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"31 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.313","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this note, we give some lower and upper bounds for the gaps between consecutive elements of an integer sequence whose elements are expressible in the form P(m) + P(n), where P is a degree d polynomial with integer coefficients, and m, n are nonnegative
期刊介绍:
The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.