Möbius Thue-Morse序列沿Piatetski-Shapiro数的正交性

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2023-01-01 DOI:10.4064/sm220818-3-8

Andrei Shubin

引用次数: 0

摘要

我们证明Möbius函数与沿Piatetski-Shapiro数取的Thue-Morse序列$t(n)$正交，对于任意$1 \lt c\ lt 2$。之前，这个性质是为沿平方$t(n^2)的子序列建立的

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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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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

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.