Course Contents
prime numbers, prime factorization, congruences, Fermat's little theorem, RSA-cryptosystem, Legendre-symbol, quadratic reciprocity.
Outlook in Gaussian integers, Dirichlet's prime number theorem or Fermat's problem.
Literature
Schmidt: Einführung in die algebraische Zahlentheorie, Springer
Bundschuh: Einführung in die Zahlentheorie, Springer
Müller-Stach: Elementare und algebraische Zahlentheorie: Ein moderner Zugang zu klassischen Themen, Vieweg
Ireland, Rosen: A classical introduction to modern number theory, Springer
Apostol: Introduction to analytic number theory, Springer
Preconditions
Linear Algebra
(participation without certification of prerequisites is possible)
prime numbers, prime factorization, congruences, Fermat's little theorem, RSA-cryptosystem, Legendre-symbol, quadratic reciprocity.
Outlook in Gaussian integers, Dirichlet's prime number theorem or Fermat's problem.
Literature
Schmidt: Einführung in die algebraische Zahlentheorie, Springer
Bundschuh: Einführung in die Zahlentheorie, Springer
Müller-Stach: Elementare und algebraische Zahlentheorie: Ein moderner Zugang zu klassischen Themen, Vieweg
Ireland, Rosen: A classical introduction to modern number theory, Springer
Apostol: Introduction to analytic number theory, Springer
Preconditions
Linear Algebra
(participation without certification of prerequisites is possible)
- Lecturer: Sabrina Pauli
- Lecturer: Nathan Tiggemann
Semester: Verão 2026
Jupyterhub API Server: https://tu-jupyter-t.ca.hrz.tu-darmstadt.de