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Siberian Mathematical Journal

, Volume 49, Issue 2, pp 222–238 | Cite as

An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II

  • A. M. GaisinEmail author
  • D. I. Sergeeva
Article

Abstract

We study the Dirichlet series that are convergent only in a half-plane and whose sequence of exponents extends to a “regular” sequence. We establish some unimprovable estimates for the order of the sum of the Dirichlet series in a half-strip whose width depends on the special distribution density of the exponents.

Keywords

order of the Dirichlet series in a half-strip 

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References

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute of Mathematics with Computing CenterUfaRussia

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