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OALib Journal期刊
ISSN: 2333-9721
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Weighted limit theorems for general Dirichlet series. II

Keywords: Dirichlet series , limit theorem , probability measure , space of analytic functions , space of meromorphic functions , topological group , weak convergence

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Abstract:

Under some hypotheses on the weight function and a function given by general Dirichlet series, weighted limit theorems in the sense of weak convergence of probability measures in the space of meromorphic functions areobtained. If the system of exponents of Dirichlet series is linearly independent over the field of rational numbers, then the explicit form of the limit measure is given.

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