Divisibility: Greatest common divisor, the Euclidean algorithm, finite and infinite continued fractions.
Prime numbers: Fundamental theorem of Arithmetic, Fermat numbers.
Arithmetical functions: Möbius function, Euler totient function, Dirichlet product.
Modular arithmetic: Equivalence classes modulo m, modular systems, and the Chinese Remainder Theorem.
Quadratic residues: Law of quadratic reciprocity.
Dirichlet series: Riemann zeta function.
Primes in arithmetic progressions: Dirichlets theorem.
- Teacher: Γεράσιμος Αθανασούλης
- Teacher: Κωνσταντίνος Μπελιμπασάκης
ECTS : 5
Language : el, en