Distinct gaps between fractional parts of sequences

DOI10.1090/S0002-9939-02-06791-6zbMath1006.11042MaRDI QIDQ4547015

Alexandru Zaharescu, Marian Vâjâitu

Publication date: 20 August 2002

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

zbMATH Keywords

upper boundfractional partsdistinct lengths of gaps

Mathematics Subject Classification ID

Density, gaps, topology (11B05) General theory of distribution modulo (1) (11K06)

Related Items (1)

A METRIC THEORY OF MINIMAL GAPS

Cites Work

• The pair correlation function of fractional parts of polynomials
• Pair correlation of values of rational functions (mod \(p\))
• On successive settings of an arc on the circumference of a circle
• A metric result on the pair correlation of fractional parts of sequences
• The $\bm{n}$-point correlations between values of a linear form
• The distribution of spacings between the fractional parts of \(n^2\alpha\)
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