Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Function
Published on 1. February 1996
Book
Paperback/Softback
XIII, 169 pages
978-3-540-58437-7 (ISBN)
Description
This is a text on the mean-value and omega theorems for the Riemann Zeta-function. It includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
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Content
Contents
: Some Preliminaries.- Some Fundamental Theorems on Titchmarsh Series and Applications.- Titchmarsh's Phenomenon.- Mean-value Theorems for the Fractional Powers of . - Zeros of .- Some Recent Progress (Statements without Proofs of Some Difficult Results Mentioned in the Introduction).- Appendix (Asymptotic Formulae for the Gamma Function and so on).