MATM35 Number Theory, 7.5 credits, is an elective course at advanced level for a Bachelor or Master of Science degree in Mathematics. The course can be taken as an stand-alone course. The course is given at half-study pace during the first half of the autumn semester. The language of instruction is English.

Course Content
The course treats multiplicative number theoretic functions, Möbius inversion formula, properties of Euler's totient function, primitive roots and indices, quadratic residues, the Legendre symbol and it's properties, the quadratic reciprocity theorem, representations of integers as sums of squares, number theoretic properties of the Fibonacci sequence, continued fractions, Diophantine approximation.

Teaching
The teaching consists of lectures and seminars. All teaching sessions are planned to be given on campus. Note that this may be subject to change depending on the current pandemic situation.

Assessment
The examination consists of a written and an oral examination at the end of the course and a written assignment during the course. The oral examination may only be taken by those students who pass the written examination.

Course Literature

David M. Burton, Elementary Number Theory, 7th edition, McGraw-Hill, New York, 2010, ISBN: 978-007-128919-1.

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Mathematics at Faculty of Science