On the Dirichlet divisor problem in short intervals

DOI10.1007/S11139-013-9470-6zbMath1315.11081arXiv1209.0872OpenAlexW2130205583MaRDI QIDQ744843

Aleksandar Ivić, Zhai, Wenguang

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0872

zbMATH Keywords

Dirichlet divisor problemVoronoï formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

Related Items (3)

Moments and oscillations of exponential sums related to cusp forms ⋮ On fourth and higher moments of short exponential sums related to cusp forms ⋮ Circle problem and the spectrum of the Laplace operator on closed 2-manifolds

Cites Work

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• Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function
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• Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)
• On the higher moments of the error term in the divisor problem
• Three-dimensional exponential sums with monomials
• On the mean square formula of the error term in the Dirichlet divisor problem
• Large values of certain number-theoretic error terms
• Exponential Sums and Lattice Points III
• On higher-power moments of Δ(x) (II)
• The mean square of the error term in a generalization of Dirichlet's divisor problem
• Higher-Power Moments of δ(x ), E(t ) and P(x )
• Sign changes of the error term in Weyl’s law for Heisenberg manifolds
• The circle and devisor problem

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