On the number of restricted prime factors of an integer. II

DOI10.1007/BF02392087zbMath0417.10037OpenAlexW2924558620MaRDI QIDQ754916

Karl K. Norton

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf02392087

zbMATH Keywords

Bibliographylarge deviationsasymptotic formulasarithmetic functionprime factors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Primes in congruence classes (11N13) Distribution of primes (11N05) Arithmetic functions in probabilistic number theory (11K65)

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Cites Work

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• The probability theory of additive arithmetic functions
• On the number of restricted prime factors of an integer. I
• Über quadratfreie Zahlen mit vorgeschriebener Primteilerzahl
• Remarks on a paper of G. Halasz
• Estimates for partial sums of the exponential series
• Some applications of a theorem of Raikov to number theory
• Approximate formulas for some functions of prime numbers
• On the integers having exactly \(k\) prime factors
• Halving an estimate obtained from Selberg's upper bound method
• On a theorem of Erdös-Kac
• Order statistics of partial sums of mutually independent random variables
• General multiplicative functions
• On the distribution of amicable numbers.
• A class of additive arithmetic functions with asymptotically normal distribution
• Prime Numbers and Brownian Motion
• APPLICATION OF SOME INTEGRAL EQUATIONS TO PROBLEMS OF NUMBER THEORY
• Sur des formules de Atle Selberg
• Remarks to my paper “on the distribution of additive and the mean values of multiplicative arithmetic functions”
• On the distribution of additive arithmetic functions
• Bemerkung zu einem Ergebnis von Erdös über befreundete Zahlen.
• The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions
• On the Size of Certain Number-Theoretic Functions
• Note on the distribution of values of the arithmetic function 𝑑(𝑚)