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arXiv · 1703.03280

On the abscissas of convergence of Dirichlet series

A. O. Kuryliak·O. B. Skaskiv·N. Yu. Stasiv
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Abstract

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

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A. O. Kuryliak, O. B. Skaskiv, N. Yu. Stasiv. 2017-03-09. On the abscissas of convergence of Dirichlet series. https://arxiv.org/abs/1703.03280

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