Some new estimates in the Dirichlet divisor problem

DOI10.4064/aa-52-3-241-253zbMath0619.10041OpenAlexW804799100MaRDI QIDQ3755524

Aleksandar Ivić, Michel Ouellet

Publication date: 1989

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206201

zbMATH Keywords

upper boundsRiemann zeta-functionDirichlet divisor problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (8)

On a Hybrid Fourth Moment Involving the Riemann Zeta-Function ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function ⋮ On mean values of some zeta-functions in the critical strip. ⋮ New estimates of the remainder in an asymptotic formula in the multidimensional Dirichlet divisor problem ⋮ A Tauberian theorem with remainder for the Laplace transform and its application in the theory of the Riemann zeta-function ⋮ The multidimensional Dirichlet divisor problem and the Carlson abscissa and exponent ⋮ On the error term for the counting functions of finite Abelian groups ⋮ On the general additive divisor problem

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