Logo

Lectures on The Riemann Zeta-Function

Small book cover: Lectures on The Riemann Zeta-Function

Lectures on The Riemann Zeta-Function
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: B0007J92N0
Number of pages: 154

Description:
The aim of these lectures is to provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here. The exposition is self-contained, and required a preliminary knowledge of only the elements of function theory.

Download or read it online for free here:
Download link
(650KB, PDF)

Similar books

Book cover: Lectures on Stratification of Complex Analytic SetsLectures on Stratification of Complex Analytic Sets
by - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
(9097 views)
Book cover: Topics in Complex AnalysisTopics in Complex Analysis
by - De Gruyter
This is a graduate-level textbook that provides an in-depth and readable exposition of selected topics in complex analysis. It covers both standard theory and advanced topics, with a focus on applications to geometry and number theory.
(331 views)
Book cover: Lectures on the Mean-Value and Omega Theorems for the Riemann Zeta-FunctionLectures on the Mean-Value and Omega Theorems for the Riemann Zeta-Function
by - Tata Institute of Fundamental Research
This short book is a text on the mean-value and omega theorems for the Riemann Zeta-function. The author includes discussion of some fundamental theorems on Titchmarsh series and applications, and Titchmarsh's Phenomenon.
(9882 views)
Book cover: Lectures on Riemann MatricesLectures on Riemann Matrices
by - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.
(10425 views)