Explicit representations of the integral containing the error term in the divisor problem

DOI10.1007/S10474-010-9219-2zbMath1266.11102OpenAlexW2063169020MaRDI QIDQ626007

Yoshio Tanigawa, Jun Furuya

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9219-2

zbMATH Keywords

Riemann zeta-functiondivisor problemsconvergence of integral

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (4)

A generalized divisor problem and the sum of Chowla and Walum. II ⋮ On integrals and Dirichlet series obtained from the error term in the circle problem ⋮ Shifted Euler constants and a generalization of Euler-Stieltjes constants ⋮ EXPLICIT REPRESENTATIONS OF THE INTEGRAL CONTAINING THE ERROR TERM IN THE DIVISOR PROBLEM II

Cites Work

• Corrections and Additions to "A Generalization of a Theorem of Ayoub and Chowla"
• An integral involving the remainder term in the Piltz divisor problem
• A Generalization of A Theorem of Ayoub and Chowla
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