id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1406	Masáková, Z.; Pelantová, E.	Ito-Sadahiro numbers vs. Parry numbers	2011	6	.pdf	application/pdf	4259	268	78	= (−x)m+1 p−1∑ i=0 (−x)i + ( (−x)p − 1 ) (x − β) · m∑ i=2 Ti−1(−x)m−i + (10) (x − β) p∑ i=1 Tm+i−1(−x)p−i −( (−x)p − 1 ) βT0(−x)m−1 + Tm − Tm+p . First realize that Tm − Tm+p = 0, since d−β(lβ) is eventually periodic with a preperiod of length m and a period of length p. We call such numbers β Ito-Sadahiro numbers, and we compare their properties with those of Parry numbers, which occur in the same context for the Rényi positive base numeration system.	cache/ap-1406.pdf	txt/ap-1406.txt