PRIME DIVISORS ARE POISSON DISTRIBUTED

DOI10.1142/S1793042107000778zbMath1118.11005OpenAlexW2075072737MaRDI QIDQ3435259

Andrew Granville

Publication date: 25 April 2007

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

Full work available at URL: https://doi.org/10.1142/s1793042107000778

zbMATH Keywords

prime divisorspermutationfactorizationPoissonlocal distributionHardy-Ramanujan

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Approximations to statistical distributions (nonasymptotic) (62E17) Distribution of primes (11N05) Factorization; primality (11A51) Distribution functions associated with additive and positive multiplicative functions (11N60) Factorization (11Y05)

Related Items (9)

On the distribution of \(\mathrm{Cl}(K)[l^\infty\) for degree \(l\) cyclic fields] ⋮ On the consecutive prime divisors of an integer ⋮ Consecutive neighbour spacings between the prime divisors of an integer ⋮ SPACINGS BETWEEN SELECTED PRIME DIVISORS OF AN INTEGER ⋮ Gaps between prime divisors and analogues in Diophantine geometry ⋮ ERRATUM: "PRIME DIVISORS ARE POISSON DISTRIBUTED" ⋮ Large and moderate deviation principles for the Erdős-Kac theorem in function fields ⋮ STATISTICS OF PRIME DIVISORS IN FUNCTION FIELDS ⋮ Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis

Cites Work

• On the number of prime factors of an integer
• A Rate Estimate in Billingsleys Theorem for the Size Distribution of Large Prime Factors

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