Limit Theorems for the Riemann Zeta-Function by Antanas LaurincikasLimit Theorems for the Riemann Zeta-Function by Antanas Laurincikas

Limit Theorems for the Riemann Zeta-Function

byAntanas Laurincikas

Paperback | December 9, 2010

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This 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.

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Title:Limit Theorems for the Riemann Zeta-FunctionFormat:PaperbackDimensions:318 pages, 9.25 × 6.1 × 0.04 inPublished:December 9, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:904814647X

ISBN - 13:9789048146475

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Table of Contents

Preface. 1. 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. Subject index.