Academic Year 2021-2022

NUMBER THEORY

Teachers

Pietro Corvaja
Unit Credits
6
Teaching Period
Second Period
Course Type
Supplementary
Prerequisites. First year courses and some familiarity with Galois theory.
Teaching Methods. Standard classes.
Verification of Learning. Written proof at home plus 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
The course consists in an introduction to algebraic number theory.

Contents: rings of integers, especially quadratic number ring, the class group, splitting of ideals.

Proof of Dirichlet’s theorem on primes in progressions and its generalization by Frobenius.

Texts
Marcus, Number Fields, Springer Verlag.

Any other introductory book on algebraic number theory.

CONTATTI

Università degli Studi di Udine
Dipartimento di Scienze Matematiche, Informatiche e Fisiche (DMIF)
via delle Scienze 206, 33100 Udine, Italy
Tel: +39 0432 558400
Fax: +39 0432 558499
PEC: dmif@postacert.uniud.it
p.iva 01071600306 | c.f. 80014550307

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30 km from Slovenia border
80 km from Austria border
120 km from Croatia border
160 km South West of Klagenfurt (Austria)
160 km West of Lubiana (Slovenia)
120 km North East of Venezia (Italy)

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