A SURVEY OF FACTORIZATION COUNTING FUNCTIONS

DOI10.1142/S1793042105000315zbMath1084.11003MaRDI QIDQ5716128

Arnold Knopfmacher, Michael E. Mays

Publication date: 9 January 2006

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

zbMATH Keywords

factorizationmultiplicative partitionfactorisatio numerorum

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Factorization; primality (11A51)

Related Items (13)

On representations of ternary order relations in numeric strings ⋮ Fourier series of functions involving higher-order ordered Bell polynomials ⋮ On a conjecture of Wilf ⋮ Unnamed Item ⋮ On the maximal order of numbers in the ``factorisatio numerorum problem ⋮ Quadrafree \textit{factorisatio numerorum} ⋮ Unnamed Item ⋮ Large values and champion numbers of Kalmár's arithmetic function ⋮ On asymptotic behavior of Dirichlet inverse ⋮ Fourier series of higher-order ordered Bell functions ⋮ Fourier series of sums of products of ordered Bell and poly-Bernoulli functions ⋮ Unordered Factorizations with $k$ Parts ⋮ ON PRIME-PERFECT NUMBERS

Cites Work

• Unnamed Item
• Unnamed Item
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• On a problem of Oppenheim concerning Factorisatio Numerorum
• On highly factorable numbers
• Recursive formulae for the multiplicative partition function
• Factorisatio numerorum with constraints
• Compositions with distinct parts
• An asymptotic formula for extended Eulerian numbers
• The distribution of the number of factors in a factorization
• Distribution of the number of factors in random ordered factorizations of integers
• On the number of ordered factorizations of natural numbers
• Extended Bernoulli and Eulerian numbers
• Addition theorems for sets of integers
• Über die Anzahl der Produktzerlegungen ganzer Zahlen
• On some asymptotic formulas in the theory of the ``factorisatio numerorum
• On the Number of Multiplicative Partitions
• A Bound for the Number of Multiplicative Partitions
• On Product Partitions of Integers

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