Estimates for partial sums of continued fraction partial quotients
نویسندگان
چکیده
منابع مشابه
Subexponentially increasing sums of partial quotients in continued fraction expansions
We investigate from a multifractal analysis point of view the increasing rate of the sums of partial quotients Sn(x) = ∑n j=1 aj(x), where x = [a1(x), a2(x), · · · ] is the continued fraction expansion of an irrational x ∈ (0, 1). Precisely, for an increasing function φ : N → N, one is interested in the Hausdorff dimension of the sets Eφ = { x ∈ (0, 1) : lim n→∞ Sn(x) φ(n) = 1 } . Several cases...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1986
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1986.122.73