Academic Year 2023-2024

NUMBER THEORY

Teachers

Pietro Corvaja
Unit Credits
6
Teaching Period
Second Period
Course Type
Supplementary
Prerequisites. The mathematical program of the first year; some elements of Fourier analysis and complex analysis.
Teaching Methods. Classes
Verification of Learning. Homework followed by oral examination.
Objectives
To get acquainted with the fundamental concepts of algebraic number theory, using the notions learned during the courses of Algebra and Galois theory.
Contents
Lattices, Minkowski’s theorems. Theta functions, Fourier transforms. Distribution of prime numbers: the elementary theory; the Riemann zeta function and the Dirichlet L- function. The Prime Number Theorem and Dirichlet’s theorem on primes in progressions.
Texts
Davenport, Multiplicative Number Theory.

Chandrasekharan: An Introduction to Analytic Number Theory