Math 160a  
Number Theory 

Fall 201415  

Instructor:
Matthias Flach, flach at caltech.edu 
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Please note the TIME CHANGE. The class is now MWF 10am in the same
room. 

The course will
follow the textbook with some extra material on Zetafunctions and analytic
aspects 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, some aspects of global class field
theory. 

Grades:
Grades will be based on homework. Homework is due Wednesdays at 2pm in
my mailbox or in class but NOT 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.


Number Fields by Daniel A. Marcus, Corr. 3rd printing, SpringerVerlag 1977. ISBN: 9780387902791 
Here
is a nonexhaustive list of further references on algebraic number
theory. 






