The distribution of numbers with many factorizations
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Publication:2664683
DOI10.1007/s00209-021-02762-2zbMath1485.11142OpenAlexW3160712975WikidataQ114231076 ScholiaQ114231076MaRDI QIDQ2664683
Publication date: 17 November 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-021-02762-2
Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)
Related Items (4)
A ``supernormal partition statistic ⋮ The number of preimages of iterates of \(\phi\) and \(\sigma\) ⋮ The distribution of numbers with many ordered factorizations ⋮ On factorizations into coprime parts
Cites Work
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- Quadrafree \textit{factorisatio numerorum}
- On the multiplicative partition function
- The average order of an arithmetic function
- Multiplicative partitions of numbers with a large squarefree divisor
- On a problem of Oppenheim concerning Factorisatio Numerorum
- On locally repeated values of certain arithmetic functions. II
- Upper bounds for sums of powers of divisor functions
- On highly factorable numbers
- Factorisatio numerorum with constraints
- The distribution of the number of factors in a factorization
- Popular subsets for Euler's \(\varphi \)-function
- Über die Anzahl der Produktzerlegungen ganzer Zahlen
- On the parity of the number of multiplicative partitions and related problems
- 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
- On the number of factorizations of an integer
- Some results on Oppenheim's ``Factorisatio Numerorum function
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