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401-3113-57L 6 Credits BSC , MSC D-MATH

Number Theory

Zahlentheorie

Lecturers & Examiners: Prof. Dr. Clemens Josef Fuchs
VVZ CR n/a

Last Updated: 2026-02-05 15:14:00

Abstract

Introductory course in number theory, selected topics will be discussed

Objective

Aim is to know the fundamental results of number theory

Content

1. Divisibility theory, prime numbers, Euclids theorem 2. Prime number theorem, zeta-function and Riemann's hypothesis 3. Geometry of numbers: ring of integers, class number, Dirichlet unit theorem 4. Continued fraction expansion: theorems of Legendre and Lagrange 5. Elliptic curves

Resources

Lecture Notes

Will be produced on the fly and distributed during lectures.

General Information

Language
German
Levels
BSC , MSC

Examination

Type
session examination
Mode
oral 20 minutes

Course Components

Type Title Time & Place Hours
lecture Zahlentheorie
  • Tue 08:15-10:00 (HG E 41)
2 h weekly
exercise Zahlentheorie
  • Fri 13:15-14:00 (HG E 33.3)
  • Fri 13:15-14:00 (HG E 33.5)
1 h weekly

Offered In