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This entry is from Winter semester 2016/17 and might be obsolete. You can find a current equivalent here.

Number Theory
(dt. Zahlentheorie)

Level, degree of commitment Advanced module, depends on importing study program
Forms of teaching and learning,
Lecture (4 SWS), recitation class (2 SWS),
270 hours (90 h attendance, 180 h private study)
Credit points,
formal requirements
9 CP
Course requirement(s): Written or oral examination
Examination type: Successful completion of at least 50 percent of the points from the weekly exercises.
The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Mathematics.
Subject, Origin Mathematics, B.Sc. Mathematics
One semester,
Regularly alternating with other advanced modules
Person in charge of the module's outline Prof. Dr. István Heckenberger, Prof. Dr. Sönke Rollenske


  • Fundamental theorem of arithmetic,
  • g-adic expansion and divisibility,
  • elementary theory of primes,
  • Examples of public-key cryptographic methods,
  • Diophantine equations,
  • Modular arithmetic, power residues, reciprocity laws.

Qualification Goals

The students shall

  • learn the basics of classical number theory,
  • recognize the links to methods from algebra and analysis,
  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of abstraction and formulating proofs),
  • improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.


Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen vermittelt werden

Recommended Reading

  • Remmert, Ullrich: Elemetare Zahlentheorie, Birkhäuser.
  • Everest, Ward: An Introduction to Number Theory, GTM, Springer (hier insbesondere Kapitel 1-3)
  • Stein: Elementary Number Theory: Primes, Congruences, and Secrets (a computational approach), UTM, Springer.

Please note:

This page describes a module according to the latest valid module guide in Winter semester 2016/17. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.