{"title":"Möbius Thue-Morse序列沿Piatetski-Shapiro数的正交性","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":"{\"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}","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}
Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers
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
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