## ANNOUNCEMENTS

- Registration for Fall term opens Thursday, May 19, 2016.
- This page was last updated: .

## COURSE DESCRIPTION

The course will follow the textbook with some extra material on zeta-functions and global fields of characteristic p at the end. After an introduction on Diophantine equations and reciprocity laws we start with the systematic development: Rings of integers in number fields, the discriminant, unique factorization, splitting of primes, the ideal class group and the unit group, the Dedekind zeta-function and the analytic class number formula, curves over finite fields.

## POLICIES

### Grades

Grades will be based on homework.

### Homework Policy

Homework is due Wednesdays at 2 PM in my mailbox or in class. Please do NOT submit HW in the MA160 mailbox.

### Collaboration

You are welcome to discuss solutions with other students and/or "learn" them from books or other sources, but you should write your own solutions with your own words.

## TEXTBOOKS

Daniel A. Marcus, Number Fields, Corr. 3rd printing, Springer-Verlag 1977. ISBN: 978-0-387-90279-1.

Here is a non-exhaustive list of further references on algebraic number theory.

## HOMEWORK

Due Date | Homework | Solutions |
---|---|---|

2pm, Oct 5 | Set 1 | |

2pm, Oct12 | Set 2 | |

2pm, Oct 19 | Set 3 | |

2pm, Oct 26 | Set 4 | |

2pm, Nov 2 | Set 5 | |

2pm, Nov 9 | Set 6 | |

2pm, Nov 16 | Set 7 | |

2pm, Nov 23 | Set 8 | |

2pm, Dec 2 | Set 9 | Note the changed due date |