Regularly Increasing Entire Dirichlet Series
Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 118-131.

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For entire Dirichlet series, we establish conditions on its coefficients and exponents under which the logarithms of the maximal term and of the maximum of the modulus are regularly varying functions of order $\rho\in[1,+\infty)$ and the central exponent is a regularly varying function of order $\rho-1$.
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P. V. Filevich; M. N. Sheremeta. Regularly Increasing Entire Dirichlet Series. Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 118-131. http://geodesic.mathdoc.fr/item/MZM_2003_74_1_a12/

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