Geodesic
Behavior of the~logarithm of the modulus value of the~sum of a~Dirichlet series converging in a~half-plane
Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 175-186.

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A stronger version of the well-known theorem of Hayman concerning the minimum modulus of an entire function of infinite order defined by a lacunary power series is proved for series converging only in the unit disc or in a half-plane. 
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A. M. Gaisin. Behavior of the~logarithm of the modulus value of the~sum of a~Dirichlet series converging in a~half-plane. Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 175-186. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a7/

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