We obtain a generalization of part "if" of the Erdos-Wintner theorem to additive arithmetic functions with values in certain Banach spaces. Some applications in asymptotic density are considered.
Publié le : 1989-01-14
Classification:
Additive arithmetic function,
distribution,
density,
Banach space type,
10K20,
60B11
@article{1176991514,
author = {de la Cal, Jesus},
title = {On the Three Series Theorem in Number Theory},
journal = {Ann. Probab.},
volume = {17},
number = {4},
year = {1989},
pages = { 357-361},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991514}
}
de la Cal, Jesus. On the Three Series Theorem in Number Theory. Ann. Probab., Tome 17 (1989) no. 4, pp. 357-361. http://gdmltest.u-ga.fr/item/1176991514/