Sums of fractional parts of integer multiples of an irrational

DOI10.1006/jnth.1995.1012zbMath0824.11041OpenAlexW2117649123MaRDI QIDQ1345271

Peter Jau-Shyong Shiue, Thomas C. Brown

Publication date: 15 November 1995

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9cb496498be476290bfa737f2f4ba337c5b5d37d

zbMATH Keywords

continued fractionsone-dimensional diophantine approximation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70)

Related Items (9)

On sums of fractional parts \(\{na+y\}\) ⋮ Embeddings of circular orbits and the distribution of fractional parts ⋮ On the one-sided boundedness of sums of fractional parts \((\{ n\alpha+ \gamma\}-\frac12)\). ⋮ Factors of characteristic words of irrational numbers ⋮ Fibonacci-even numbers: Binary additive problem, distribution over progressions, and spectrum ⋮ Тригонометрические суммы над одномерными квазирешетками произвольной коразмерности ⋮ On the asymptotic behavior of Sudler products along subsequences ⋮ Applications of standard Sturmian words to elementary number theory ⋮ Balance properties of multi-dimensional words

This page was built for publication: Sums of fractional parts of integer multiples of an irrational