no. 3
Roots of multiplicative functions
Compositio Mathematica, Tome 65 (1988) no. 3, pp. 349-358 
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     title = {Roots of multiplicative functions},
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     publisher = {Kluwer Academic Publishers},
     volume = {65},
     number = {3},
     mrnumber = {932075},
     zbl = {0637.10005},
     language = {en},
     url = {https://www.numdam.org/item/CM_1988__65_3_349_0/}
}
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Carroll, Tim; Gioia, A. A. Roots of multiplicative functions. Compositio Mathematica, Tome 65 (1988) no. 3, pp. 349-358. https://www.numdam.org/item/CM_1988__65_3_349_0/

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3 D. Rearick, Operators on algebras of arithmetic functions, Duke Math. J. 35 (1968) 761-766. | Zbl | MR

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