This information sheet indicates how the course will be organized at pandemic code level yellow and green.
If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Number theory

Course Code :1000WETGTT
Study domain:Mathematics
Academic year:2020-2021
Semester:1st semester
Sequentiality:
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: Exam contract not possible
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Karim Johannes Becher

3. Course contents *

  • Reminder modular calculus, Chinese Remainder Theorem
  • Functions from elementary number theory, Euler function
  • Rings of algebraic integers in a number field, Relation to diophantine equations, Examples
  • Dedekind domains, integral extensions, discriminant
  • Finiteness of the ideal class group. Minkowski bound
  • Quadratic Reciprocity Law
  • Distributions of prime numbers, Dirichlet's Theorem on primes in an arithmetic progression