Geodesic
Properties of series of exponentials whose exponents satisfy to
Sbornik. Mathematics, Tome 197 (2006) no. 6, pp. 813-833 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let sequence $\{\lambda_n\}$, $0<\lambda_n\uparrow\infty$, satisfies to a condition of Levinson type. It is obtained exact estimate of growth of the Dirichlet series $f(z)=\sum_{n=1}^\infty a_ne^{\lambda_nz}$ on the curve of bounded slope, depending only on its coefficients and exponents. 
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A. M. Gaisin. Properties of series of exponentials whose exponents satisfy to. Sbornik. Mathematics, Tome 197 (2006) no. 6, pp. 813-833. http://geodesic.mathdoc.fr/item/SM_2006_197_6_a1/

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