{"title":"On ordered factorizations into distinct parts. II","authors":"Noah Lebowitz-Lockard","doi":"10.5486/pmd.2023.9586","DOIUrl":null,"url":null,"abstract":"Let G ( n ) be the number of ordered factorizations of n into distinct parts greater than 1. We improve the accuracy of the Dirichlet series of G , then use this result to obtain a more precise asymptotic formula for the sum of G ( n ) for all n ≤ x .","PeriodicalId":54530,"journal":{"name":"Publicationes Mathematicae-Debrecen","volume":"70 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publicationes Mathematicae-Debrecen","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5486/pmd.2023.9586","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
Let G ( n ) be the number of ordered factorizations of n into distinct parts greater than 1. We improve the accuracy of the Dirichlet series of G , then use this result to obtain a more precise asymptotic formula for the sum of G ( n ) for all n ≤ x .
期刊介绍:
Publicationes Mathematicae Debrecen appears quarterly and publishes original research papers on pure mathematical topics. It welcomes contributed papers that develop interesting, or important, new mathematical ideas and results or solve outstanding problems. All papers are refereed for correctness and suitability for publication.
Publicationes Mathematicae Debrecen is covered by the Mathematical Reviews, Zentralblatt fur Mathematik, Scopus, the Web of Science, the Science Abstracts and the Science Citation Index.