Article
Weighted Limit Theorems for General Dirichlet Series. Ii
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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 are obtained. 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.
Keywords
Dirichlet series, limit theorem, probability measure, space of analytic functions.
Citation
Genys, J. & Laurincikas, A. (2009). Weighted limit theorems for general dirichlet series. ii. Uniform Distribution Theory, 4(1), 9–26.
J. Genys and A. Laurincikas, “Weighted limit theorems for general dirichlet series. ii,” Uniform Distribution Theory, vol. 4, no. 1, pp. 9–26, 2009.
Genys J, Laurincikas A. Weighted limit theorems for general dirichlet series. ii. Uniform Distribution Theory. 2009;4(1):9–26.
Genys, J. and Laurincikas, A. (2009), ‘Weighted limit theorems for general dirichlet series. ii’, Uniform Distribution Theory, 4(1), pp. 9–26.
Genys, Jonas, and Antanas Laurincikas. “Weighted Limit Theorems for General Dirichlet Series. Ii.” Uniform Distribution Theory, vol. 4, no. 1, 2009, pp. 9–26.
Genys, Jonas, and Antanas Laurincikas. “Weighted Limit Theorems for General Dirichlet Series. Ii.” Uniform Distribution Theory 4, no. 1 (2009): 9–26.
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Published by: Engineering Journals
