Article
Weighted Limit Theorems for General Dirichlet Series
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Abstract
Under some hypotheses, weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained. If the system of exponents of the series is linearly independent over theeld of rational numbers, then the explicit form of the limit measure is given.
Keywords
Dirichlet series, Fourier transform, limit theorem, probability measure, topolog ical group, weak convergence.
Citation
Genys, J. & Laurincikas, A. (2007). Weighted limit theorems for general dirichlet series. Uniform Distribution Theory, 2(2).
J. Genys and A. Laurincikas, “Weighted limit theorems for general dirichlet series,” Uniform Distribution Theory, vol. 2, no. 2, 2007.
Genys J, Laurincikas A. Weighted limit theorems for general dirichlet series. Uniform Distribution Theory. 2007;2(2).
Genys, J. and Laurincikas, A. (2007), ‘Weighted limit theorems for general dirichlet series’, Uniform Distribution Theory, 2(2).
Genys, Jonas, and Antanas Laurincikas. “Weighted Limit Theorems for General Dirichlet Series.” Uniform Distribution Theory, vol. 2, no. 2, 2007.
Genys, Jonas, and Antanas Laurincikas. “Weighted Limit Theorems for General Dirichlet Series.” Uniform Distribution Theory 2, no. 2 (2007).
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Published by: Engineering Journals
