- Docente: Calogero Tinaglia
- Credits: 6
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)
Learning outcomes
In this class, students will gain a deep understanding of some
concepts and fundamental techniques in number theory. They will also
acquire specific knowledge of how to teach mathematics.
Course contents
Minimal bases and orthogonal basis of integers. Quadratic forms. Elliptic curves and functions. Mordell Theorem. Primes of an arithmetic progression. Dirichelet Series. Zeta function and L-functions. Density. Dirichelet Theorem.
Readings/Bibliography
J.W.S. Cassels, An Introduction to the Geometry of Numbers (Springer-Verlag)
H. Davenport, Aritmetica Superiore (Zanichelli)
G. Everest and T. Ward, An Introduction to Number Theory (Springer)
G.H. Hardy and E.M. Wright, An Introduction to Theory of Numbers (Oxford University Press)
J.P. Serre, A Cours in
Arithmetic (Springer-Verlag)
Related notes will be distributed.
Teaching methods
In class we will discuss the theory and solve several exercises.
Assessment methods
Oral exam
Teaching tools
In-class
lesson
Office hours
See the website of Calogero Tinaglia