Abstract
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.
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Original Russian Text © O. A. Petrushov, 2018, published in Matematicheskie Zametki, 2018, Vol. 103, No. 5, pp. 750–764.
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Petrushov, O.A. On the Behavior of a Power Series with Completely Multiplicative Coefficients near the Unit Circle. Math Notes 103, 797–810 (2018). https://doi.org/10.1134/S0001434618050127
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DOI: https://doi.org/10.1134/S0001434618050127