On highly factorable numbers

DOI10.1006/jnth.1998.2238zbMath0934.11045OpenAlexW1989774726MaRDI QIDQ1273199

Jun Kyo Kim

Publication date: 26 April 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2238

zbMATH Keywords

prime factorizationlarge highly factorable number

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Analytic theory of partitions (11P82)

Related Items

The distribution of numbers with many factorizations, Large values of the number of factorizations of an integer as an ordered product of primes, Large values and champion numbers of Kalmár's arithmetic function, A SURVEY OF FACTORIZATION COUNTING FUNCTIONS, Asymptotic bounds for factorizations into distinct parts

Cites Work

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• Partitions of bipartite numbers
• On a problem of Oppenheim concerning Factorisatio Numerorum
• Partitions of bi-partite numbers into at most \(j\) parts
• Recursive formulae for the multiplicative partition function
• On Product Partitions of Integers