On the Size of Certain Number-Theoretic Functions

DOI10.2307/1990590zbMath0036.30501OpenAlexW4238142045MaRDI QIDQ5794721

William J. LeVeque

Publication date: 1949

Full work available at URL: https://doi.org/10.2307/1990590

zbMATH Keywords

Number theory

Related Items (10)

Multivariate normal distribution for integral points on varieties ⋮ Discrete uniform distribution for a sum of additive functions ⋮ A weighted version of the Erdős-Kac theorem ⋮ Unnamed Item ⋮ Poisson distribution for a sum of additive functions ⋮ Discrete uniform limit law for a sum of additive functions on shifted primes ⋮ On the bivariate Erdős–Kac theorem and correlations of the Möbius function ⋮ Two new proofs of the Erdös–Kac Theorem, with bound on the rate of convergence, by Stein's method for distributional approximations ⋮ On the number of restricted prime factors of an integer. II ⋮ Jonas Kubilius and genesis of probabilistic number theory

Cites Work

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• On the distribution function of additive functions
• Note on the Number of Prime Divisors of Integers
• Additive Arithmetical Functions and Statistical Independence
• The Accuracy of the Gaussian Approximation to the Sum of Independent Variates
• The Approximate Distributions of the Mean and Variance of a Sample of Independent Variables
• Note on the distribution of values of the arithmetic function 𝑑(𝑚)

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