Dimension theory of the product of partial quotients in Lüroth expansions
Keyword(s):
For [Formula: see text] let [Formula: see text] be its Lüroth expansion and [Formula: see text] be the sequence of convergents of [Formula: see text] Define the sets [Formula: see text] [Formula: see text] and [Formula: see text] where [Formula: see text] is a positive function. In this paper, we calculate the Lebesgue measure of the set [Formula: see text] and the Hausdorff dimension of the sets [Formula: see text] and [Formula: see text].
2014 ◽
Vol 91
(1)
◽
pp. 34-40
◽
Keyword(s):
Keyword(s):
2015 ◽
Vol 158
(3)
◽
pp. 419-437
◽
2016 ◽
Vol 164
(1)
◽
pp. 1-14
◽