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