CONSECUTIVE SQUARE-FREE NUMBERS IN PIATETSKI-SHAPIRO SEQUENCES
| Autor: | Pinthira Tangsupphathawat, Vichian Laohakosol, Teerapat Srichan |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Bulletin of the Australian Mathematical Society. 105:217-222 |
| ISSN: | 1755-1633 0004-9727 |
| DOI: | 10.1017/s0004972721000666 |
| Popis: | Using a method due to Rieger [‘Remark on a paper of Stux concerning squarefree numbers in non-linear sequences’, Pacific J. Math.78(1) (1978), 241–242], we prove that the Piatetski-Shapiro sequence defined by $\{\lfloor n^c \rfloor : n\in \mathbb {N}\}$ contains infinitely many consecutive square-free integers whenever $1. |
| Databáze: | OpenAIRE |
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