On higher-power moments of Δ(x) (III)

DOI10.4064/aa118-3-3zbMath1085.11049arXiv0805.1523OpenAlexW4249087461MaRDI QIDQ5315173

Zhai, Wenguang

Publication date: 7 September 2005

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

Full work available at URL: https://arxiv.org/abs/0805.1523

zbMATH Keywords

Riemann zeta-functionpower momentsDirichlet divisor problem

Mathematics Subject Classification ID

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

Related Items (18)

On the mean of the shifted error term in the theory of the Dirichlet divisor problem ⋮ On the fourth power moment of the error term for the divisor problem with congruence conditions ⋮ On the error term \(\Delta_{(k,l)}(x)\) ⋮ On hybrid moments of \(\Delta_2 (x)\) and \(\Delta_3 (x)\) ⋮ On the fourth power moment of Fourier coefficients of cusp form ⋮ On the mean square of the error term for the asymmetric two-dimensional divisor problem. I ⋮ On a conjecture of Chowla and Walum ⋮ On the seventh power moment of Δ(x) ⋮ On higher-power moments of \(\Delta(1)(x)\) ⋮ Sign changes of the error term in Weyl’s law for Heisenberg manifolds ⋮ On differences of two squares ⋮ ON THE FOURTH POWER MOMENT OF Δx AND E(x) IN SHORT INTERVALS ⋮ ON THE FIFTH-POWER MOMENT OF Δ(x) ⋮ On the divisor function and the Riemann zeta-function in short intervals ⋮ On the error term in Weyl's law for the Heisenberg manifolds. II ⋮ Unnamed Item ⋮ 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

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