MATH 605: Number Theory
(Spring 2016)

Homework problems and Due dates

Multiple-page homework should be stapled. Otherwise it will not be graded.

All problems should be stated in your assignment before you write your solutions to them.

Assignments are due at the beginning of the class on the indicated due date.

Algebraic Number Theory by Jurgen Neukirch, Springer 1996.

• Homework assignment 1 (Due on January 21, in class)
  1.1, Gaussian Integers: 3, 5, 6, 7
  1.2, Integrality: 1, 2, 6, 7

• Homework assignment 2 (Due on January 28, in class)
  Fact Check I

• Homework assignment 3 (Due on February 4, in class)
  1.3, Ideals: 3, 6
  1.4, Lattices: 2, 3

• Homework assignment 4 (Due on February 11, in class)
  1.5, Minkowski Theory: 1, 3
  1.6, The Class Number: 3, 6, 7

• Homework assignment 5 (Due on February 25, in class)
  Hw5

• Homework assignment 6 (Due on March 24, in class)
  2.1, The p-adic Numbers: 2, 3 (Hint: Use Hensel's lemma)
  2.2, The p-adic Absolute Value: 2, 6
  2.8, Extensions of Valuations: 2, 3

Last Modified January 13 (Wednesday), 2016.