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
Complex Analysisby Christian Berg - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
(9247 views)
Elements of the Theory of Functions of a Complex Variableby G.E. Fisher, I.J. Schwatt - Philadelphia G.E. Fisher
Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; General properties of functions; Infinite and infinitesimal values of functions; etc.
(9390 views)
Lectures on Entire Functionsby B. Ya. Levin - American Mathematical Society
This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order.
(19104 views)
Theory of Functions of a Complex Variableby Heinrich Burkhardt - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.
(6347 views)