arXiv 1703.032802017-03-12math.CV

On the abscissas of convergence of Dirichlet series

A. O. Kuryliak, O. B. Skaskiv, N. Yu. Stasiv

英文摘要：

For the Dirichlet series of the form $\displaystyle F(z,ω)=\sum\nolimits_{k=0}^{+\infty} f_k(ω)e^{zλ_k(ω)} $ $ (z\in\mathbb{C},$ $ω\inΩ)$ with pairwise independent real exponents $(λ_k(ω))$ on probability space $(Ω,\mathcal{A},P)$ an estimates of abscissas convergence and absolutely convergence are established.

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