21-441: Number Theory

Course Information

Fall 2023
Syllabus
Community Agreement
Meetings: MWF 2-2:50pm, PH 226A

Lecture Notes
Office: Wean Hall 8119
Office Hours: M 1-1:50pm, Tu by appointment
Email: ebellah@andrew.cmu.edu

Course Calendar

Week Material¹ Problem Sets ²

1 The FTA and the Multiplicative Group of Z/nZ PS 1:
Ch 1 #3, 4, 8, 9
Ch 2 #1, 3

2 The Multiplicative Group of Z/nZ PS 2:
Ch 2 #6, 8, 9, 10, 11

3 Prime Numbers PS 3:
Ch 3 #1, 3, 4, 5, 7, 8

4 Quadratic Residues PS 4:
Ch 3 # 11, 12(a)
Ch 4 #4, 7

5 Arithmetic Functions PS 5:
Ch 4 # 11
Ch 5 #3, 14, 16, 18

6 Diophantine Analysis I PS 6:
Ch 6 #3, 4, 5, 8

7 Algebraic Number Theory PS 7:
Ch 6 #11
Ch 7 #2, 3, 4
Fall Break: October 16-20

8 Algebraic Number Theory (cont) PS 8:
Ch 7 #5, 6

9 Algebraic Number Theory (cont) PS 9:
Ch 7 #7, 8, 9 and 10

10 Algebraic Number Theory (cont) PS 10:
Ch 7 #12, 13, and 14

11 Diophantine Analysis II PS 11:
Ch 7 #18
Ch 8 #1 and #4

12 Diophantine Analysis II (cont)

13 Final Talks

14 Final Talks

^{1. Lecture notes will be updated throughout the course. See the timestamp on the coverpage for the latest update.}
^{2. Exercises are assigned from the course lecture notes. See the course syllabus for the submission schedule and the problem set information document for information.}
^{3. The anonymous course feedback form can be found here, and will be reviewed at the beginning of each week.}