On sums of fractional parts
Acta Arithmetica
MSC: Primary 11K31; Secondary 37A99.
DOI: 10.4064/aa230411-16-6
Published online: 20 July 2023
Abstract
The difference between the sums of the fractional parts of integer multiples of two irrational numbers, when these irrationals differ by a rational number, is unbounded unless the difference is an integer.
