Showing math.NTShow all
2 papers · 1 filter
math.NT2008
Quelques inégalités effectives entre des fonctions arithmétiques usuelles
Jean-Louis Nicolas
Let us denote by and $\si(n)$ the number and the sum of the divisors of and by $\vfi$ Euler's function. We give effective upper bounds for $\frac{n}{\vfi(n)}$ in terms o…
math.NT2007
Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar
M. Deléglise, M. O. Hernane, J. -L. Nicolas
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-ch…