This article is cited in 3 papers

Estimation over curves of the functions given by Dirichlet series on a half-plane

A. M. Gaisin^a, T. I. Belous<sup>b

a</sup> Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b Ufa State Aviation Technical University

Abstract: 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.

Keywords: Dirichlet series, maximal term, Hadamard composition, asymptotic behavior over curves.

UDC: 517.53

Received: 23.02.2001

 English version: Siberian Mathematical Journal, 2003, 44:1, 22–36

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