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OverviewThis volume presents a wide 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. Audience: This is a self-contained book, 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: Softcover reprint of hardcover 1st ed. 1996 Volume: 352 Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 0.498kg ISBN: 9789048146475ISBN 10: 904814647 Pages: 306 Publication Date: 09 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. 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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