Introduction to Number Theory

Introduction to Number Theory

3-4 hours of lectures per week.

Lecturer:
Steffen Bentzen
Content:
In this course we shall consider questions like:
  • How many primes are less than n?
  • For how many primes p is a given number, a primitive root, i.e. a generator of tex2html_wrap_inline1169 ?
  • Given two coprime numbers a and n. How many primes are congruent to a modulo n?
  • In how many ways can a given positive number be written as a sum of positive numbers?
  • The question themselves are interesting, but so are the methods used to answer them: they use techniques from the theory of functions (of a complex variable).

    Prerequisites:
    Algebra 1 plus Complex Function Theory
    Literature:
    Notes