Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar

Details Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar

2007-02-08

arxiv.org/abs/math/0702222v1

Mathematics

Number Theory

40 pages

Scientific paper

The Kalm\'ar function K(n) counts the ordered factorizations of n as a
product of integers bigger than 1. We precise the maximal order of K(n) and
give several properties of the K-champions, where n is a K-champion if K(m) <
K(n) for all m < n.

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