Roots of multiplicative functions
Compositio Mathematica (1988)
- Volume: 65, Issue: 3, page 349-358
- ISSN: 0010-437X
Access Full Article
top
How to cite
topCarroll, Tim, and Gioia, A. A.. "Roots of multiplicative functions." Compositio Mathematica 65.3 (1988): 349-358. <http://eudml.org/doc/89895>.
@article{Carroll1988,
author = {Carroll, Tim, Gioia, A. A.},
journal = {Compositio Mathematica},
keywords = {r-fold Dirichlet convolution; explicit formulas; roots of completely multiplicative functions; fractional powers of completely multiplicative functions; Bell series of the Dirichlet convolution},
language = {eng},
number = {3},
pages = {349-358},
publisher = {Kluwer Academic Publishers},
title = {Roots of multiplicative functions},
url = {http://eudml.org/doc/89895},
volume = {65},
year = {1988},
}
TY - JOUR
AU - Carroll, Tim
AU - Gioia, A. A.
TI - Roots of multiplicative functions
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 65
IS - 3
SP - 349
EP - 358
LA - eng
KW - r-fold Dirichlet convolution; explicit formulas; roots of completely multiplicative functions; fractional powers of completely multiplicative functions; Bell series of the Dirichlet convolution
UR - http://eudml.org/doc/89895
ER -
References
top- 1 T.N. Apostol, Some properties of completely multiplicative arithmetic functions, Amer. Math. Monthly78 (1971) 266-271. Zbl0209.34302MR279053
- 2 T.B. Carroll and A.A. Gioia, On a subgroup of the group of multiplicative functions, J. Austral. Math. Soc.20 (Series A) (1975) 348-358. Zbl0308.10002MR376495
- 3 D. Rearick, Operators on algebras of arithmetic functions, Duke Math. J.35 (1968) 761-766. Zbl0169.37201MR230695
- 4 P. Kemp, Nth roots of arithmetical functions, J. Nat. Sciences and Math.17 (1977) no. 1, 27-30. Zbl0368.10008MR480304
- 5 M. Beumer, The arithmetical function τk(n), Amer. Math. Monthly69 (1962) 777-781. Zbl0108.26704
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.