# MA3A6 Algebraic Number Theory

**Lecture notes** (complete)

**Example sheets**

- Example sheet 1
- Example sheet 2

There were a couple of errors in the first version of example sheet 2, which were fixed on 5/2: questions to hand in are 3, 5, 7 and question 3 should end "Determine O_K and Delta_K."

You may use question 4 in answering question 5.
- Example sheet 3

**Correction:** In question 7, you need to factorise <11> as well as <2>, <3>, <5> in order to do the last part.
- Example sheet 4

Lecturer: Martin Orr

Lectures: Tue 4.00 (L4), Thu 4.00 (MS.05), Fri 11.00 (MS.01)

Support classes: Thu 2.00 (LIB2)

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

Assignment deadlines: Friday 2pm in weeks 3, 6, 8, 10 (i.e. 25 Jan, 15 Feb, 1 Mar, 15 Mar)

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: Friday 2pm in weeks 3, 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 to Prof Siksek's notes, though we may cover things in a slightly different order. These notes also contain many relevant examples.

I expect to write notes and post them here, although these may be a week or two behind the lectures.

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.