On Advanced Analytic Number Theory
by C.L. Siegel
Publisher: Tata Institute of Fundamental Research 1961
Number of pages: 241
Description:
During the winter semester 1959/60, the author delivered at the Tata Institute of Fundamental Research a series of lectures on Analytic Number Theory. It was his aim to introduce his hearers to some of the important and beautiful ideas which were developed by L. Kronecker and E. Hecke.
Download or read it online for free here:
Download link
(1.4MB, PDF)
Similar books
Lectures on Analytic Number Theoryby H. Rademacher - Tata Institute of Fundamental Research
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. Contents: Formal Power Series; Analysis; Analytic theory of partitions; Representation by squares.
(10668 views)
Lectures on The Riemann Zeta-Functionby K. Chandrasekharan - Tata Institute of Fundamental Research
These notes 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.
(14519 views)
Lectures on Sieve Methodsby H.E. Richert - Tata Institute of Fundamental Research
The aim of this text is to provide an introduction to modern sieve methods, i.e. to various forms of both the large sieve (part I of the book) and the small sieve (part II), as well as their interconnections and applications.
(11326 views)
An Introduction to Modular Formsby Henri Cohen - arXiv.org
Contents: Functional Equations; Elliptic Functions; Modular Forms and Functions; Hecke Operators: Ramanujan's discoveries; Euler Products, Functional Equations; Modular Forms on Subgroups of Gamma; More General Modular Forms; Some Pari/GP Commands.
(6149 views)