MATA3510 Number Theory 2 (4 cr)

The course expands knowledge of the basics of number theory based on Number Theory 1.

The course covers, for example,

• Number-theoretic functions such as Euler's function, factor sum functions and Möbius' function
• Representing whole numbers as the sum of two or more squares
• Higher order Diophantus equations such as Fermat's and Pell's equations
• Number theory of rational numbers such as Farey's sequence, Diophantus' approximation, Continued fractions
• Riemann's zeta function

After completing the course, the student

• knows the central questions of number theory
• masters the number theory methods and techniques discussed in the course

MATA151 Lukuteoria 1