Dirichlet series obtained from the error term in the Dirichlet divisor problem

DOI10.1007/s00605-010-0195-yzbMath1296.11100OpenAlexW2044905654MaRDI QIDQ985729

Yoshio Tanigawa, Jun Furuya, Zhai, Wenguang

Publication date: 6 August 2010

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

Full work available at URL: https://doi.org/10.1007/s00605-010-0195-y

zbMATH Keywords

analytic continuationDirichlet divisor problemmean square estimate

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41)

Related Items (4)

On the mean of the shifted error term in the theory of the Dirichlet divisor problem ⋮ Explicit upper bounds for the remainder term in the divisor problem ⋮ On integrals and Dirichlet series obtained from the error term in the circle problem ⋮ On the differences between two kinds of mean value formulas of number-theoretic error terms

Cites Work

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• On the average orders of the error term in the Dirichlet divisor problem
• Mean square of the remainder term in the Dirichlet divisor problem
• A note on the average order of number-theoretic error terms
• An integral involving the remainder term in the Piltz divisor problem
• Exponential Sums and Lattice Points III
• Mean square of the remainder term in the Dirichlet divisor problem II

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