SUBJECT
Title
Number theory 2.
Type of instruction
lecture
Level
master
Faculty
Part of degree program
Credits
2
Recommended in
Semesters 1-4
Typically offered in
Autumn/Spring semester
Course description
Elements of multiplicative number theory. Dirichlet's theorem,special cases. Elements of combinatorial number theory. Diophantine equations. The two square problem. Gaussian integers, special quadraticextensions. Special cases of Fermat's last theorem. The four squareproblem, Waring's problem. Pell equations. Diophantine approximation theory. Algebraic and transcendent numbers. The circle problem, elements of the geometry of numbers. The generating function method, applications. Estimates involving primes. Elements of probabilistic number theory.
Readings
I. Niven, H.S. Zuckerman: An introduction to the theory of Numbers. Wiley, 1972.