Moments of the probability density functions of error terms in divisor problems

DOI10.1090/S0002-9939-04-07825-6zbMath1160.11350MaRDI QIDQ4654041

Kai-Man Tsang, Yuk-Kam Lau

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (2)

A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function

Cites Work

• On the existence of limiting distributions of some number-theoretic error terms
• Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems
• Distribution of the error term for the number of lattice points inside a shifted circle
• On higher-power moments of Δ(x) (II)
• The distribution and moments of the error term in the Dirichlet divisor problem
• Higher-Power Moments of δ(x ), E(t ) and P(x )

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