On the value distribution of a class of arithmetic functions

Nowak, Werner Georg. "On the value distribution of a class of arithmetic functions." Commentationes Mathematicae Universitatis Carolinae 37.1 (1996): 117-134. <http://eudml.org/doc/247924>.

@article{Nowak1996,
abstract = {This article deals with the value distribution of multiplicative prime-independent arithmetic functions $(\alpha (n))$ with $\alpha (n)=1$ if $n$ is $N$-free ($N\ge 2$ a fixed integer), $\alpha (n)>1$ else, and $\alpha (2^n)\rightarrow \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.},
author = {Nowak, Werner Georg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {arithmetic functions; value distribution; finite Abelian groups; asymptotic formula; multiplicative prime-independent arithmetic function; value distribution},
language = {eng},
number = {1},
pages = {117-134},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the value distribution of a class of arithmetic functions},
url = {http://eudml.org/doc/247924},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Nowak, Werner Georg
TI - On the value distribution of a class of arithmetic functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 1
SP - 117
EP - 134
AB - This article deals with the value distribution of multiplicative prime-independent arithmetic functions $(\alpha (n))$ with $\alpha (n)=1$ if $n$ is $N$-free ($N\ge 2$ a fixed integer), $\alpha (n)>1$ else, and $\alpha (2^n)\rightarrow \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.
LA - eng
KW - arithmetic functions; value distribution; finite Abelian groups; asymptotic formula; multiplicative prime-independent arithmetic function; value distribution
UR - http://eudml.org/doc/247924
ER -