Because of the current situation, all the lectures will be prerecorded and available online on this page, see below.

*A course in computational number theory*, by D. Bressoud and S. Wagon*The higher arithmetic*, by H. Davenport (up to chapter VI)*A classical introduction to modern number theory*, by K. Ireland and M. Rosen (up to chapter 5)*Primes of the form x²+ny²*, by D. Cox (up to section 2.B)

The course contents are available as prerecorded videos and as PDF notes. You can save these files by right-clicking on the links and clicking on "Save link as".

The PDF notes for the current chapter will be updated regularly as the chpter progresses. During this time, they will be marked as "Incomplete - in progress". Once the chapter is complete, the final version of the notes will be marked as "Complete".

- Chapter 0: Introduction - Diophantine equations

Video - Notes (Complete) - Chapter 1: Divisibility and factorisation

Notes (Complete)

Videos: - Chapter 2: Congruences and Z/nZ

Notes (Complete)

Videos: - Chapter 3: Power residues, Legendre symbols, and quadratic reciprocity

Notes (Complete)

Videos: - Chapter 4: Sums of squares

Notes (Complete)

Videos: - Chapter 5: Binary quadratic forms

Notes (Complete)

Videos: - Chapter 6: Continued fractions

Notes (Complete, in progress)

No lecture videos yet.

Typesetting your work in LaTeX will increase your mark by 20% (but it will still be capped at 100/100).

The solutions will be made available immediately after the deadline, so

Exercise sheet | Due date | Solutions | LaTex source |
---|---|---|---|

Sheet 1 | Friday October 16th, 2PM | Solutions 1 | Source 1 |

Sheet 2 | Monday October 26th, 2PM | Solutions 2 | Source 2 |

Sheet 3 | Wednesday November 4th, 2PM | Solutions 3 | Source 3 |

Sheet 4 | Friday November 20th, 2PM | Solutions 4 | Source 4 |

Sheet 5 | Wednesday December 2nd, 2PM | Not yet public | Not yet public |

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