MATE5208 Number Theory, Advanced Course (5 cr)
Cooperation network course
Network: Cross-institutional studies in advanced courses in mathematics and statistics
This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:
- Bachelor's Degree Programme in Mathematics
- Master's Degree Programme in Mathematics
- Bachelor's Degree Programme in Mathematics (Subject Teacher)
- Master's Degree Programme in Mathematics (Subject Teacher)
- Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Doctoral Programme in Mathematics and Statistics
- Doctoral Programme in Mathematics and Science (Specialication in Mathematics)
Grading scale:
0-5
Description
Valittuja kohtia hieman "korkeammasta" lukuteoriasta, esimerkiksi Dirichlet'n karakterit, Gaussin summat, Diofantoksen approksimaatiot, ketjumurtoluvut, Diofantoksen yhtälöt.
Learning outcomes
Luentomonisteen käsitteiden ymmärtäminen ja todistusten hallinta sekä teorian soveltaminen konkreettisiin esimerkkeihin (esim. ketjumurtolukukehitelmän laskeminen, jäännösluokkien mod n muodostaman renkaan multiplikatiivisen ryhmän rakenteen selvittäminen ja soveltaminen).
Additional information
Järjestetään syksyllä 2024, 2025 ja 2026.
Description of prerequisites
MATE5123 Lukuteoria