**Lectures on The Riemann Zeta-Function**

by K. Chandrasekharan

**Publisher**: Tata Institute of Fundamental Research 1953**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

**Elliptic Functions and Elliptic Curves**

by

**Jan Nekovar**-

**Institut de Mathematiques de Jussieu**

Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.

(

**5383**views)

**On Riemann's Theory of Algebraic Functions and their Integrals**

by

**Felix Klein**-

**Macmillan and Bowes**

In his scholarly supplement to Riemann's complex mathematical theory, rather than offer proofs in support of the theorem, Klein chose to offer this exposition and annotation, first published in 1893, in an effort to broaden and deepen understanding.

(

**9079**views)

**Introduction to Complex Analysis**

by

**W W L Chen**-

**Macquarie University**

Introduction to some of the basic ideas in complex analysis: complex numbers; foundations of complex analysis; complex differentiation; complex integrals; Cauchy's integral theorem; Cauchy's integral formula; Taylor series; Laurent series; etc.

(

**13085**views)

**Notes on Automorphic Functions**

by

**Anders Thorup**-

**Kobenhavns Universitet**

In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.

(

**9428**views)