- Docente: Luca Migliorini
- Credits: 6
- SSD: MATH-02/B
- Language: Italian
- Teaching Mode: In-person learning (entirely or partially)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 6061)
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.
Students with learning disabilities (LD) or temporary or permanent disabilities:
Please contact the relevant University office promptly
(https://site.unibo.it/studenti-con-disabilita-e-dsa/it); they will be responsible for suggesting any accommodations to the students concerned. These accommodations must be submitted to the teacher for approval 15 days in advance, to evaluate their suitability, including in relation to the course's learning objectives.
Regarding learning assessments, the use of AI is
prohibited. Any use constitutes a violation of academic integrity.
Office hours
See the website of Luca Migliorini