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Number Theory I
Last Updated: 2026-02-05 16:14:49
Abstract
This course will give an introduction to the theory of number fields, which are fundamental objects in algebraic number theory.
Objective
Algebraic integers, discriminant, ideal class group, Minkowski's theorem on the finiteness of the ideal class group, Dirichlet's unit theorem, Dirichlet L-series, zeta function, prime number theorem (+ other material if time permits)
Resources
Literature
Jürgen Neukirch: Algebraic number theory. Springer-Verlag 1999.
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Number Theory I |
|
4 h weekly |
Offered In
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Core Courses (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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