Dilated Floor Functions That Commute
| Autor: | Lagarias, Jeffrey C., Murayama, Takumi, Richman, D. Harry |
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| Rok vydání: | 2016 |
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| Zdroj: | Amer. Math. Monthly 123, no. 10 (2016) 1033-1038 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4169/amer.math.monthly.123.10.1033 |
| Popis: | We determine all pairs of real numbers $(\alpha, \beta)$ such that the dilated floor functions $\lfloor \alpha x\rfloor$ and $\lfloor \beta x\rfloor$ commute under composition, i.e., such that $\lfloor \alpha \lfloor \beta x\rfloor\rfloor = \lfloor \beta \lfloor \alpha x\rfloor\rfloor$ holds for all real $x$. Comment: 6 pages, to appear in Amer. Math. Monthly |
| Databáze: | arXiv |
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