Abstract
For a Dirichlet series \(\sum\nolimits_{n = 1}^\infty {a_n \exp \{ s{\lambda}_n \} } \) with nonnegative exponents and zero abscissa of absolute convergence, we study the asymptotic behavior of the remainder \(\sum\nolimits_{k = n}^\infty {\left| {a_k } \right|\exp \{ {\delta \lambda}_k \} } \), δ < 0, as n → ∞.
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REFERENCES
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Mykytyuk, L.Y., Sheremeta, M.M. On the Asymptotic Behavior of the Remainder of a Dirichlet Series Absolutely Convergent in a Half-Plane. Ukrainian Mathematical Journal 55, 456–467 (2003). https://doi.org/10.1023/A:1025877328155
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DOI: https://doi.org/10.1023/A:1025877328155