On the value distribution of a class of arithmetic functions
Nowak, Werner Georg
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 117-134 / Harvested from Czech Digital Mathematics Library
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This article deals with the value distribution of multiplicative prime-in\-de\-pendent arithmetic functions $(\alpha (n))$ with $\alpha (n)=1$ if $n$ is $N$-free ($N\ge2$ a fixed integer), $\alpha (n)>1$ else, and $\alpha (2^n)\to\infty$. An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zeta-function. Applications to the enumerative functions of Abelian groups and of semisimple rings of given finite order are discussed.

Publié le : 1996-01-01
Classification:  11K65,  11N37,  11N45,  11N64 
@article{118816,
     author = {Werner Georg Nowak},
     title = {On the value distribution of a class of arithmetic functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {117-134},
     zbl = {0854.11050},
     mrnumber = {1396164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118816}
}

Nowak, Werner Georg. On the value distribution of a class of arithmetic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 117-134. http://gdmltest.u-ga.fr/item/118816/

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