{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5486/pmd.2023.9586","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
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 .