**Lectures:**

- Monday 9 in CM107
- Tuesday 9 in CM107 no lecture on Tue 22.02.
- Problems class: Wednesday, 16.02. at 11am in E102.
- Second problems class: Wednesday, 09.03. at 11am in CG218
- Extra lecture: Wednesday, 16.03. at 11am in CG218

Moreover, in case you missed a lecture, there are scans from the lectures of Michaelmas term and of Part 1 and Part 2 of Epiphany term, courtesy of Natasha Morrison.

**Problems:**

(from Mmas) some solutions to Problem Sheet 2 [pdf] (from Mmas) some solutions to Problem Sheet 3 [pdf] (from Mmas) some solutions to Problem Sheet 4 [pdf] (from Mmas) Problem Sheet 5 [pdf] Solutions (from Mmas) Problem Sheet 6 [pdf] Solutions Problem Sheet 7 [pdf] Solutions Scans of hwk solutions (Steven Charlton) Problem Sheet 8 [pdf] Solutions Problem Sheet 9 [pdf] some solutions Problem Sheet 10 [pdf] some solutions Note: The discriminant in Sheet 10, Q4, is 404, rather than 2^8*3^2 (spotted by Natasha). |

**Challenges:**

Second challenge (results from Robert Botcherby, Alex Kent, Caspar de Haes, Nick Byrne and Steven Charlton); here is a link to Steven's outstanding families of solutions!

There is actually a rather recent paper dealing with the background (and solution) of the problem (link provided by Natasha).

**Reading material for year IV students:**

Here is now a library copy of Appendix A for module MATH4211 Number Theory IV (DUO password needed), and here is a similar link for interested 3rd year students, i.e. module MATH3031 Number Theory III.

**Reading suggestions:**

A famous classic is

Here is a more recent standard reference, from a somewhat more advanced point of view

The following **online notes ** of a course given by Milne contain a wealth of material.

Lots of details are explained in

while a very concise account of the theory can be found in

For exciting piece-wise (elementary) reading, with mostly independent sections in historical order, check out

Furthermore, here you can find a large library of links (some are already outdated, alas) to online notes (some of them in French, German, Dutch or even Greek!).

**Assignments:** Set every fortnight (roughly); collected and marked only twice per term (presumably in week 4 and 8). Will be handed out successively and will then also be available here.

To hand in by Feb 08: Sheet 7, Q1), Q3), Q6)(i), (ii).

To hand in by Mar 08: Sheet 8, Q2 i), Q5 a), c), Q7); and Sheet 9, Q2) for d=-21.