On the asymptotic behaviour of sums \(\sum g(n)\{x/n\}^ k\)

DOI10.1007/BF01295155zbMath0555.10027OpenAlexW2072650835MaRDI QIDQ760462

Armel Mercier, Werner Georg Nowak

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178223

zbMATH Keywords

fractional partarithmetic functionsasymptotic behaviour of sums

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Trigonometric and exponential sums (general theory) (11L03)

Related Items (5)

Divisor problems and exponent pairs ⋮ A generalisation of a result of de la Vallée Poussin ⋮ On the asymptotic behavior of sums ∑n≤xf(n){x/n}k ⋮ On the equation \(n_{1}n_{2}=n_{3}n_{4}\) and mean value of character sums ⋮ Fractional parts of the function \(x/n\)

Cites Work

• Sums containing the fractional parts of numbers
• VAN DER CORPUT'S METHOD AND THE THEORY OF EXPONENT PAIRS
• Regularly varying functions
• Unnamed Item
• Unnamed Item

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