Ufa Mathematical Journal
    Volume 6, Number 4, pp. 18-30

    Two-sided k-order estimate for Dirichlet series in a half-strip

    Aitkuzhina N.N., Gaisin A.M.


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    We study Dirichlet series convergent only in a half-plane and whose sequence of exponents can be extended to some ``regular'' sequence. We establish the best possible k-order estimates for the sum of the Dirichlet series in the half-strip whose width depends on a special distribution density of the exponents.