28442 - Number Theory 1

Academic Year 2025/2026

  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: First cycle degree programme (L) in Mathematics (cod. 8010)

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. Binary quadratic forms. Introduction to algebraic number theory, algebraic integers.P-adic numbers.

Readings/Bibliography

Serre cours d'arithmetique

Flath Introduction to number theory

Davenport Higher arithmetic

Ireland Rosen a classical introduction to modern number theory

Borevich Shafarevich Number theory

 

Teaching methods

Teaching at the blackboard 

Assessment methods

Oral examination

Office hours

See the website of Luca Migliorini