Lectures on Analytic Number Theory
by H. Rademacher
Publisher: Tata Institute of Fundamental Research 1955
Number of pages: 283
Description:
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.
Download or read it online for free here:
Download link
(1.4MB, PDF)
Similar books
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.
(12433 views)
Lectures on a Method in the Theory of Exponential Sumsby M. Jutila - Tata Institute of Fundamental Research
The author presents a selfcontained introduction to summation and transformation formulae for exponential sums involving either the divisor function d(n) or the Fourier coefficients of a cusp form; these two cases are in fact closely analogous.
(9398 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.
(4617 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.
(9195 views)