Geodesic
Minimum of modulus of the sum of Dirichlet series converging in a half-plane
Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 49-57

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The estimate of the sum of Dirichlet series near the convergence line and outside some exceptional set of disks is obtained in terms of minimum of modulus on continuums close to vertical line segments. This result generalizes the known theorem on minimum of modulus on vertical segments lying in the convergence half-plane.
Keywords: Dirichlet series, convergence half-plane, minimum modulus theorem. 
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A. M. Gaisin. Minimum of modulus of the sum of Dirichlet series converging in a half-plane. Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 49-57. http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a4/