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Homework 8: Chapter 2: §3 1, 2, 3, 4, 5.
Homework 7: Chapter 2: §2 4, 5, 6, 7. Read "Primes of a number field" in Chapter 2, §4.
No lectures next week (Oct. 10 - Oct. 14). On Oct. 17 we continue with Chapter 2.
Homework 6: Chapter 1: §13 2, 3, 4, 5. Read Chapter 1 of the textbook.
Homework 5: Chapter 1: §10 2. §11 2, 3, 4.
Homework 4: Chapter 1: §9 2, 4. Stickelberger's theorem: The discriminant of an integer polynomial with leading coefficient 1 is 0 or 1 modulo 4.
Please note that the lecture on Tuesdays has been moved from B91 to B81. See timetable.
Homework 2: Chapter 1: §4 4, 5. The ring R[X,Y]/(X^2+Y^2-1) of real-valued polynomial functions on the circle is Dedekind.
Homework 1: Chapter 1: §2 1, 2, 4. The algebraic numbers is the quotient field of the ring of algebraic integers.
Welcome to number theory. The first class takes place on Monday 22nd of August.