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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.

MSC:

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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