On the Frequency of Small Fractional Parts in Certain Real Sequences

DOI10.2307/1993099zbMath0085.03403OpenAlexW4241930668MaRDI QIDQ3254398

William J. LeVeque

Publication date: 1958

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1993099

zbMATH Keywords

small fractional partsfrequency in real sequences

Mathematics Subject Classification ID

Small fractional parts of polynomials and generalizations (11J54)

Related Items (13)

On a problem of W. J. LeVeque concerning metric diophantine approximation ⋮ Invariance principles for Diophantine approximation of formal Laurent series over a finite base field ⋮ A Functional Central Limit Theorem in Diophantine Approximation ⋮ The algebraic nature of the elementary theory of PRC fields ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation ⋮ An analogue of a theorem of Szüsz for formal Laurent series over finite fields. ⋮ Central limit theorems in the geometry of numbers ⋮ On metric Diophantine approximation in the field of formal Laurent series ⋮ Zwei Grenzwertsätze für Kettenbrüche ⋮ Central limit theorems for Diophantine approximants ⋮ The length of periodic continued fractions ⋮ On the Frequency of Small Fractional Parts in Certain Real Sequences. II ⋮ The residual finiteness of completely infinite polycyclic groups

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