# Roots of multiplicative functions

Compositio Mathematica (1988)

- Volume: 65, Issue: 3, page 349-358
- ISSN: 0010-437X

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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

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