Geodesic
Dirichlet series with real coefficients
Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 3-10

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We study the class of entire functions represented by Dirichlet series with real coefficients determined by a convex growth majorant. We prove the criterion for the validity of the asymptotic identity on the positive ray which is an exact estimate for the growth of the logarithm of the modulus for each function in the considered class.
Keywords: Dirichlet series with real coefficients, discrete growth majorant. 
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     author = {N. N. Aitkuzhina and A. M. Gaisin},
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N. N. Aitkuzhina; A. M. Gaisin. Dirichlet series with real coefficients. Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 3-10. http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a0/