The distribution of the number of prime divisors of sums \(a+b\)

DOI10.1016/0022-314X(88)90094-7zbMath0646.10042MaRDI QIDQ1103671

Peter D. T. A. Elliott, András Sárközy

Publication date: 1988

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

zbMATH Keywords

frequencynormal distributionnumber of prime divisors

Mathematics Subject Classification ID

Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (6)

Prime divisors in Beatty sequences ⋮ Simultaneous distribution of \(S(n)\) and \(S(n+1)\) in arithmetic progressions ⋮ Communication complexity of some number theoretic functions ⋮ On a problem of P. Erdős ⋮ On the average value for the number of divisors of numbers of form \(ab+1\) ⋮ On arithmetic properties of integers with missing digits. II: Prime factors

Cites Work

• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
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