Inhomogeneous diophantine approximations and distribution of fractional parts

DOI10.1007/s10958-012-0762-yzbMath1296.11094OpenAlexW2009952285MaRDI QIDQ690576

A. V. Shutov

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0762-y

zbMATH Keywords

continued fractionfractional parts of \(n\alpha\) sequenceHecke-Kesten problemlocal discrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (5)

Local discrepancies in the problem of fractional parts distribution of a linear function ⋮ Geometrization of the Fibonacci numeration system, with applications to number theory ⋮ ГЕОМЕТРИЗАЦИЯ СИСТЕМ СЧИСЛЕНИЯ ⋮ Local discrepancies in the problem of the distribution of the sequence \(\{k\alpha\}\) ⋮ ГЕОМЕТРИЗАЦИЯ ОБОБЩЕННЫХ СИСТЕМ СЧИСЛЕНИЯ ФИБОНАЧЧИ И ЕЕ ПРИЛОЖЕНИЯ К ТЕОРИИ ЧИСЕЛ

Cites Work

• Sequences, discrepancies and applications
• On sums of fractional parts \(\{na+y\}\)
• Répartition des suites (nα)_n∈Net substitutions
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
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