Overview

This monograph is a generalization of the classic Riemann, and Hurwitz zeta-functions, containing both analytic and probability theory of Lerch zeta-functions. The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square) and offers up-to-date results: on approximate functional equations and its applications and on zero distribution (zero-free regions, number of nontrivial zeros and so forth). Special attention is given to limit theorems in the sense of the weak convergence of probability measures for the Lerch zeta-function. From limit theorems in the space of analytic functions the universality and functional independence is derived. This book should be useful to researchers and graduate students working in analytic and probabilistic number theory, and can also be used as a textbook for postgraduate students.

Full Product Details

Author:   Antanas Laurincikas ,  Ramunas Garunkstis
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Dimensions:   Width: 15.60cm , Height: 1.20cm , Length: 23.40cm
Weight:   1.020kg
ISBN:  

9781402010149

ISBN 10:   1402010141
Pages:   189
Publication Date:   31 March 2003
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
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 Contents

Preface.- 1: Euler Gamma-Function.- 2: Functional Equation.- 3: Moments.- 4: Approximate Functional Equation.- 5: Statistical Properties.- 6: Universality.- 7: Functional Independence.- 8: Distribution of Zeros.- References.- Notation.- Subject Index.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions