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OverviewThis volume presents a range of results in analytic and probabilistic number theory. The full spectrum of limit theorems in the sense of weak convergence of probability measures for the modules of the Riemann zeta-function and other functions is given by Dirichlet series. Applications to the universality and functional independence of such functions are also given. Furthermore, similar results are presented for Dirichlet L-functions and Dirichlet series with multiplicative coefficients. This is a self-contained book, which should be useful for researchers and graduate students working in analytic and probabilistic number theory and can also be used as a textbook for postgraduate courses. Full Product DetailsAuthor: Antanas LaurincikasPublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 352 Dimensions: Width: 15.60cm , Height: 1.90cm , Length: 23.40cm Weight: 1.390kg ISBN: 9780792338246ISBN 10: 0792338243 Pages: 306 Publication Date: 30 November 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Elements of the Probability Theory.- 2. Dirichlet Series and Dirichlet Polynomials.- 3. Limit Theorems for the Modulus of the Riemann Zeta-Function.- 4. Limit Theorems for the Riemann Zeta-Function on the Complex Plane.- 5. Limit Theorems for the Riemann Zeta-Function in the Space of Analytic Functions.- 6. Universality Theorem for the Riemann Zeta-Function.- 7. Limit Theorem for the Riemann Zeta-Function in the Space of Continuous Functions.- 8. Limit Theorems for Dirichlet L-Functions.- 9. Limit Theorem for the Dirichlet Series with Multiplicative Coefficients.- References.- Notation.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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