Estimation over curves of the functions given by Dirichlet series on a half-plane. (Russian, English) Zbl 1030.30003

Sib. Mat. Zh. 44, No. 1, 27-43 (2003); translation in Sib. Math. J. 44, No. 1, 22-36 (2003).
Summary: We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line.


30B50 Dirichlet series, exponential series and other series in one complex variable
30D15 Special classes of entire functions of one complex variable and growth estimates
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