Fractional parts of the function \(x/n\)
type: Item
instance of: scholarly article
title: Fractional parts of the function \(x/n\)
zbMATH Open document ID: 1422.11200
DOI: 10.1134/S0001434616110109
author: A. V. Shubin
published in: Mathematical Notes
publication date: 2017-04-05T00:00:00Z
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11L99
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 6701365
zbMATH Keywords: fractional parts
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: divisor problem
zbMATH Keywords: method of trigonometric sums
MaRDI profile type: Publication
cites work: On the fractional parts of {x/n} and related sequences. II, III
cites work: Sums containing the fractional parts of numbers
cites work: Q3735794
cites work: Fractional part sums and divisor functions
cites work: The Average Number of Divisors in an Arithmetic Progression
cites work: On the asymptotic behaviour of sums \(\sum g(n)\{x/n\}^ k\)
cites work: The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
cites work: A property of the set of prime numbers
cites work: The median largest prime factor
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description: scientific article; zbMATH DE number 6701365