Large values and champion numbers of Kalmár's arithmetic function

DOI10.1016/j.jnt.2007.07.003zbMath1198.11082OpenAlexW1995389512MaRDI QIDQ927721

Mohand-Ouamar Hernane, Marc Deléglise, Jean Louis Nicolas

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.07.003

zbMATH Keywords

optimizationhighly composite numberschampion numbersfactorisatio numerorumKalmár's function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

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Recursively divisible numbers ⋮ The distribution of numbers with many ordered factorizations ⋮ On extended Eulerian numbers ⋮ On ordered factorizations into distinct parts ⋮ ON PRIME-PERFECT NUMBERS ⋮ On the parity of the number of multiplicative partitions and related problems ⋮ Unnamed Item ⋮ Asymptotic bounds for factorizations into distinct parts

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