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Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar

M. Deléglise, M. O. Hernane, J. -L. Nicolas

math.NTarXiv:math/0702222

Abstract

The Kalmár 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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