Math 254 A - Number Theory

Instructor: Martin Olsson

Lectures: MWF 2-3 pm, Room 85 Evans.

Course Control Number: 54958

Office: 879 Evans

Office Hours: F 1-2, W 4-5 or by apt.

Prerequisites: Math 250A required, 250B recommended.

Required Text: Lang, Algebraic Number Theory

Syllabus: This will be an introduction to algebraic number theory. I intend to cover Part I of Lang's book (Chapters I-VIII), and time permitting some selected topics from Parts two and three. This includes the basic theory of algebraic integers, completions, ramification, cyclotomic fields, Minkowski bound, and some basic properties of zeta and L-functions

Grading: Grades will be based on weekly homeworks.

Homework: There will be weekly homework. This is a fast course, and it is important to stay up to speed. For this reason no late homework will be accepted.


Exercises1.pdf

Exercises2.pdf

Exercises3.pdf

Exercises4.pdf

Exercises5.pdf

Exercises6.pdf

Exercises7.pdf

Exercises8.pdf