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Fractional part sums and divisor functions

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Publication:1161792
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DOI10.1016/0022-314X(82)90046-4zbMath0481.10044MaRDI QIDQ1161792

R. A. MacLeod

Publication date: 1982

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


zbMATH Keywords

Bernoulli polynomialsfractional part sumssum of powers of the divisors


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)


Related Items

A generalized divisor problem and the sum of Chowla and Walum. II, On a conjecture of Chowla and Walum, Extreme values for divisor functions, Approximating the constants of Glaisher-Kinkelin type, Fractional parts of the function \(x/n\), On the mean square of the error term for the asymmetric two-dimensional divisor problems. II



Cites Work

  • A note on the average order of number-theoretic error terms
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