Department of Mathematics

Introduction to Number Theory

Please note that this page is old.
Check in the VVZ for a current information.

Lecturer of the course: Michael Th. Rassias

Wednesday 15:00-17:00, HG F 5

First lecture: February 19, 2014.

Exam: May 28, 2014. Time: 15:15. Place: HG F 5. Duration: 90 minutes.


This course will introduce some of the fundamental theorems and results of classical Number Theory.

The objective is for the students to obtain a foundational knowledge of elements of Number Theory through step-by-step proofs of classical theorems, as well as to sharpen theirs skills through problem-solving. The material of the course will be such that one can be initiated to the subject gradually and thus future study, possibly at a graduate level, will be made more natural.


The course will start with basic notions, including the fundamental theorem of arithmetic, Euclid's theorem for the infinitude of primes, rational/irrational numbers and it will continue with the study of arithmetic functions, perfect numbers and Fermat numbers, congruences, quadratic residues, Dirichlet series and also aspects of the prime counting function and the Riemann zeta function. During the class, some special topics such as the proof of Bertrand's postulate will be presented as well.

Recommended Literature

T. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York, 1984.

G. H. Hardy and E. W. Wright, An Introduction to the Theory of Numbers, 5th edition, Clarendon Press, Oxford, 1979.

H. Iwaniec and E. Kowalski, Analytic Number Theory, A.M.S Colloq. Publ. 53, A.M.S, 2004.

M. Th. Rassias, Problem-Solving and Selected Topics in Number Theory, Springer, New York, 2011.


Principles of Mathematical Analysis


Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 28 May 2014