This article is cited in 3 papers

$B$-stability of the maximal term of the Hadamard composition of two Dirichlet series

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 establish a criterion for the logarithm of the maximal term of a Dirichlet series whose absolute convergence domain is a half-plane to be equivalent to the logarithm of the maximal term of its Hadamard composition with another Dirichlet series of some class on the asymptotic set.

Keywords: Dirichlet series, maximal term, Hadamard composition.

UDC: 517.53

Received: 03.07.2000
Revised: 23.02.2001

 English version: Siberian Mathematical Journal, 2002, 43:6, 1027–1038

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