Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Richman, D. Harry"'
Publikováno v:
Acta Arithmetica 196 (2020), no. 2, 163--186
This paper completes the classification of the set $S$ of all real parameter pairs $(\alpha,\beta)$ such that the dilated floor functions $f_\alpha(x) = \lfloor{\alpha x}\rfloor$, $f_\beta(x) = \lfloor{\beta x}\rfloor$ have a nonnegative commutator,
Externí odkaz:
http://arxiv.org/abs/1907.09641
Publikováno v:
Acta Arithmetica 187 (2019), No. 3, 271--299
In this paper and its sequel we classify the set $S$ of all real parameter pairs $(\alpha,\beta)$ such that the dilated floor functions $f_\alpha(x) = \lfloor{\alpha x}\rfloor$ and $f_\beta(x) = \lfloor{\beta x}\rfloor$ have a nonnegative commutator,
Externí odkaz:
http://arxiv.org/abs/1806.00579
Publikováno v:
Amer. Math. Monthly 123, no. 10 (2016) 1033-1038
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 \
Externí odkaz:
http://arxiv.org/abs/1611.05513