Fractional parts of the function \(x/n\)

DOI10.1134/S0001434616110109zbMath1422.11200MaRDI QIDQ520588

A. V. Shubin

Publication date: 5 April 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

divisor problemasymptotic behaviorfractional partsmethod of trigonometric sums

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Exponential sums and character sums (11L99)

Related Items (2)

On the asymptotic behavior of sums ∑n≤xf(n){x/n}k ⋮ Asymptotic behavior of functions \(\Omega(k;n)\) and \(\omega(k;n)\) related to the number of prime divisors

Cites Work

• Unnamed Item
• The median largest prime factor
• On the asymptotic behaviour of sums \(\sum g(n)\{x/n\}^ k\)
• Sums containing the fractional parts of numbers
• Fractional part sums and divisor functions
• On the fractional parts of {x/n} and related sequences. II, III
• 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
• The Average Number of Divisors in an Arithmetic Progression
• A property of the set of prime numbers

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