Geodesic
On the Behavior of a Power Series with Completely Multiplicative Coefficients near the Unit Circle
Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 750-764.

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Power series whose coefficients are values of completely multiplicative functions from a general class determined by a small number of constraints are studied. The paper contains proofs of asymptotic estimates as such a power series tends to the roots of $1$ along the radii of the unit circle, whence, in particular, it follows that these series cannot be extended beyond the unit disk.
Keywords: power series, multiplicative function, Dirichlet series. 
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O. A. Petruschov. On the Behavior of a Power Series with Completely Multiplicative Coefficients near the Unit Circle. Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 750-764. http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a9/

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