Math 160a
 
Number Theory
Fall 2014-15
 
MWF 10:00 AM // 257 Sloan
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Section

Instructor: Matthias Flach, flach at caltech.edu
Office Hours: 
Mon, 2-3pm


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Please note the TIME CHANGE. The class is now MWF 10am in the same room.
 
 



Course Description
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The course will follow the textbook with some extra material on Zeta-functions 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.



Policies
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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.

 


Textbook
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Number Fields by Daniel A. Marcus, 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.

Lecture Notes
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Date Description
   

Handouts
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Date Description



Homework
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Due Date Homework  Solutions
Wed, 10/7
Problem Set 1



 


 


 


 


 


 


 








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