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The distribution of the number of factors in a factorization

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Publication:1821812
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DOI10.1016/0022-314X(87)90077-1zbMath0617.10032MaRDI QIDQ1821812

Doug Hensley

Publication date: 1987

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


zbMATH Keywords

asymptotic formulacounting functionsnumber of factors in a factorization


Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Distribution of primes (11N05)


Related Items

The distribution of numbers with many factorizations ⋮ Distribution of the number of factors in random ordered factorizations of integers ⋮ A SURVEY OF FACTORIZATION COUNTING FUNCTIONS ⋮ Unordered Factorizations with $k$ Parts ⋮ On ordered factorizations into distinct parts ⋮ On the distribution of the values of arithmetic functions. The number of prime factors of an integer



Cites Work

  • On a problem of Oppenheim concerning Factorisatio Numerorum
  • The Number of Factorizations of Numbers Less than x Into Divisors Greater than y
  • The Number of Factorizations of Numbers Less than x into Factors Less than y
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