# MA3A6 Algebraic Number Theory

**Lecture notes** (complete)

**Example sheets**

- Example sheet 1

**Correction** (16/10): Question 11 should say L = Q(beta) where it originally said L=Q(sqrt(beta)). The original question was much harder than it was supposed to be - if you have already solved it, you can still hand in that solution instead of the solution to the corrected question.

**Correction** (22/10): Question 13(i) should say x sqrt(d) in K where it originally said xd in K.
- Example sheet 2
- Example sheet 3

**Correction** (11/11): Q2 should say "theta in O_{K}" where it originally said "theta in K".
- Example sheet 4
- Example sheet 5

Lectures: Mon 17.00 (OC0.02), Tue 9.00 (L4), Thu 14.00 (L5)

Support classes: Thu 15.00 (MB2.22)

Office hours: Mon 2-3 (Zeeman C2.11)

Assignment deadlines: Monday noon in weeks 4, 6, 8, 10

Course description

### Assessment

There will be four example sheets. On each sheet, a subset of the questions will be designated as assessed questions and you should submit these for marking. The final mark will be calculated as follows:

15% assignments (best 3 of 4), 85% exam

Deadlines: Monda 12 noon in weeks 4, 6, 8, 10

Exam format: one compulsory question worth 40% of the marks, and four optional questions each worth 20% of the marks

### Books and notes

The content of the course will be similar but not identical to last year.
I will again provide lecture notes here a day or two after each lecture, matching exactly what we cover in the lectures this year. Example sheets may change a little from last year.

Prof Siksek's notes also cover similar material, with many worked examples.

The most useful books are:

- Stewart and Tall,
*Algebraic Number Theory* or *Algebraic Number Theory and Fermat's Last Theorem*.
- Jarvis,
*Algebraic Number Theory*.

Some more advanced books are listed at the beginning of Prof Siksek's notes.