On the average orders of the error term in the Dirichlet divisor problem

DOI10.1016/j.jnt.2004.07.007zbMath1089.11055OpenAlexW2032455150MaRDI QIDQ817246

Jun Furuya

Publication date: 8 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.07.007

zbMATH Keywords

average orderDirichlet divisor problemmean value formulaeomega-estimate

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (8)

On the mean of the shifted error term in the theory of the Dirichlet divisor problem ⋮ A generalized divisor problem and the sum of Chowla and Walum. II ⋮ Sums of the error term function in the mean square for \(\zeta (s)\) ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problems. II ⋮ Dirichlet series obtained from the error term in the Dirichlet divisor problem ⋮ The average behaviour of the error term in a new kind of the divisor problem ⋮ On the differences between two kinds of mean value formulas of number-theoretic error terms ⋮ On sums of gcd-sum functions

Cites Work

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• On the mean-square for the approximate functional equation of the Riemann zeta-function
• Mean square of the remainder term in the Dirichlet divisor problem
• A note on the average order of number-theoretic error terms
• Exponential Sums and Lattice Points II
• Exponential Sums and Lattice Points III
• On higher-power moments of Δ(x) (II)
• Mean square of the remainder term in the Dirichlet divisor problem II
• The distribution and moments of the error term in the Dirichlet divisor problem

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