- Docente: Luca Migliorini
- Credits: 6
- SSD: MAT/03
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
-
from Feb 18, 2025 to May 29, 2025
Learning outcomes
Explaining the fundamental concpets of elementary number theory and get ready to study more advanced topics
Course contents
Examples of diofanthine equations. Residue classes mod p. Quadratic reciprocity. Primes of the form x^2+ny^2. Quadratic forms. Introduction to algebraic number theory, algebraic integeres and unique factorization into ideals.
Readings/Bibliography
Serre cours d'arithmetique
Davenport Higher arithmetic
Ireland Rosen a classical introduction to modern number theory
Borevich Shafarevich Number theory
Burton Elementary number theory
Teaching methods
Teaching at the blackboard
Assessment methods
Oral examination
Office hours
See the website of Luca Migliorini