On normal numbers for continued fractions
2000 ◽
Vol 20
(5)
◽
pp. 1405-1421
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Keyword(s):
In this paper we will show that any number normal with respect to the regular continued fraction (RCF) is also normal with respect to the continued fraction from below (BCF) and the nearest integer continued fraction (NICF). Furthermore, we will show that in case of the NICF a number is normal with respect to the RCF-expansion if and only if it is NICF-normal. This can be generalized to a larger class of semi-regular continued fraction expansions.
2009 ◽
Vol 29
(5)
◽
pp. 1451-1478
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2018 ◽
Vol 2019
(19)
◽
pp. 6136-6161
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2021 ◽
Vol 58
(2)
◽
pp. 230-245
2014 ◽
Vol 24
(08)
◽
pp. 1440008
1968 ◽
Vol 8
(2)
◽
pp. 205-212
◽
2009 ◽
Vol 148
(1)
◽
pp. 179-192
◽