On the existence of limiting distributions of some number-theoretic error terms

DOI10.1006/jnth.2001.2734zbMath1014.11058OpenAlexW2057143409MaRDI QIDQ700202

Yuk-Kam Lau

Publication date: 30 September 2002

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

Full work available at URL: https://semanticscholar.org/paper/cc2427b21eba581e764b3d5bb9a81546c939bea0

zbMATH Keywords

almost periodic functionserror termlimiting distributionDirichlet divisor functionweighted joint distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Asymptotic results on arithmetic functions (11N37) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

Spectrum of the Laplace operator on closed surfaces ⋮ Moments of the probability density functions of error terms in divisor problems ⋮ The distribution of consecutive prime biases and sums of sawtooth random variables

Cites Work

• The Existence of a Distribution Function for an Error Term Related to the Euler Function
• Sign changes of error terms related to the Euler function
• Chebyshev's Bias
• The distribution and moments of the error term in the Dirichlet divisor problem
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