A conjecture of Erdös on continued fractions
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Publication:4097013
DOI10.4064/aa-28-4-379-386zbMath0332.10033OpenAlexW882613997WikidataQ123230519 ScholiaQ123230519MaRDI QIDQ4097013
Publication date: 1976
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/205397
Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)
Related Items (21)
On the extremal theory of continued fractions ⋮ The relative growth rate of the largest digit in continued fraction expansions ⋮ On the exceptional sets concerning the leading partial quotient in continued fractions ⋮ SOME RESULTS ON THE LARGEST PARTIAL QUOTIENT IN CONTINUED FRACTIONS ⋮ Some distribution results of the Oppenheim continued fractions ⋮ The distribution of the large partial quotients in continued fraction expansions ⋮ Variations autour d'un théorème métrique de Khintchine ⋮ Prime numbers in typical continued fraction expansions ⋮ Slow increasing functions and the largest partial quotients in continued fraction expansions ⋮ Arithmetic progressions in squarefull numbers ⋮ Continued fractions, the Chen–Stein method and extreme value theory ⋮ On the large partial quotients in the continued fraction expansion ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ A remark on Liao and Rams' result on the distribution of the leading partial quotient with growing speed \(e^{n^{1/2}}\) in continued fractions ⋮ Subexponentially increasing sums of partial quotients in continued fraction expansions ⋮ Explicit continued fractions with expected partial quotient growth ⋮ The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions ⋮ The Rate of Growth of the Denominators in the Oppenheim Series ⋮ Limit theorems for sums of products of consecutive partial quotients of continued fractions ⋮ ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS ⋮ Some metric properties of \(\alpha\)-continued fractions.
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