Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2019-02-27
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MATM15
Teaching language: English
That the postgraduate student should learn the basic concepts of Number Theory. This is an important research field within Mathematics, but also has applications in Cryptography, Coding Theory and Computer Science.
Knowledge and Understanding
For a passing grade the doctoral student must
Competences and Skills
For a passing grade the doctoral student must be able to solve systems of linear congruences.
Classical theory of modulo arithmetic, quadratic reciprocity, quadratic forms and Diophantine approximation.
Burton, David M.: Elementary Number Theory. 2010. ISBN 9780071289191.
Types of instruction: Lectures, seminars
Examination formats: Written exam, oral exam
Grading scale: Failed, pass
Assumed prior knowledge: Calculus in one and several variables. Linear Algebra.
Web page: http://www.ctr.maths.lu.se/course/numtheo/