{"title":"Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers","authors":"Andrei Shubin","doi":"10.4064/sm220818-3-8","DOIUrl":null,"url":null,"abstract":"We show that the Möbius function is orthogonal to the Thue–Morse sequence $t(n)$ taken along the Piatetski-Shapiro numbers $\\lfloor n^c\\rfloor$ for any $1 \\lt c \\lt 2$. Previously, this property was established for the subsequence along the squares $t(n^2","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"70 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/sm220818-3-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We show that the Möbius function is orthogonal to the Thue–Morse sequence $t(n)$ taken along the Piatetski-Shapiro numbers $\lfloor n^c\rfloor$ for any $1 \lt c \lt 2$. Previously, this property was established for the subsequence along the squares $t(n^2
期刊介绍：
The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
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