Algebraic function fields

Course Code :2000WETANT
Study domain:Mathematics
Bi-anuall course:Taught in academic years starting in an even year
Academic year:2019-2020
Semester:1st semester
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 1st semester
Lecturer(s)Karim Johannes Becher

3. Course contents *

  • Definition and structure of the ring of algebraic integers of a number field and its class group.
  • Theorems of Dedekind on the units and on the finiteness of the class group.
  • Applications to the solution of polyonomial equations.
  • Quadratic Reciprocity Law and Dirichlet's Theorem on prime numbers in an arithmetic progression.