On a weighted mean square result of the error terms of some arithmetical functions

DOI10.1006/jnth.1999.2436zbMath0958.11064OpenAlexW2045236981MaRDI QIDQ1969345

Yuk-Kam Lau

Publication date: 10 April 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2436

zbMATH Keywords

Dirichlet seriesTauberian theoremPerron's formulaParseval's formulamean square formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

On the error terms for representation numbers of quadratic forms

Cites Work

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• A zero-density theorem for the Riemann zeta-function
• On the sum of exponential divisors of an integer
• On an error term of Chowla. I--III
• On the sum of divisors function
• A note on the average order of number-theoretic error terms
• An error term of Ramanujan
• On exponential sums involving the divisor function.
• The value of the Estermann zeta functions at s=0
• The mean square of the error term in a generalization of Dirichlet's divisor problem
• On the Hurwitz zeta-function

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