M\'{o}bius orthogonality of Thue-Morse sequence along Piatetski-Shapiro numbers
| Autor: | Shubin, Andrei |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show that the M\"{o}bius function is orthogonal to the Thue-Morse sequence $t(n)$ taken along the Piatetski-Shapiro numbers $\lfloor n^c \rfloor$ for any $1 < c < 2$. Previously this property was established for the subsequence along the squares $t(n^2)$. These are both examples of M\"{o}bius orthogonal sequences with maximum entropy. Comment: 36 pages |
| Databáze: | arXiv |
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