# Article

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.

DOI:10.13108/2014-6-4-18

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.