18.781 (Theory of Numbers) Home Page

Instructor: David Vogan, 2-355

Office hours: Thursday 3:30-4:30, Friday 4-5

Friday office hours CANCELED April 5.

dav@math.mit.edu

x3-4991

Here is a syllabus and grading information: 781info2.pdf (updated 2/27 to cover April and May).

Notes on an example done in class April 17 about solving Pell's equation.

Draft of a cheat sheet to be INCLUDED with the exam on Friday. Suggestions about additions will be considered!

CORRECTED pdf file for Problem Set 1 (due Monday, February 11 in class). The original had an error in 4(a), where 739 was accidentally written instead of the intended 738.

pdf file for Problem Set 1 solutions.

pdf file for Problem Set 2 (due Tuesday, February 19 in class).

pdf file for Problem Set 2 solutions.

pdf file for Problem Set 3 (due Monday, February 25 in class).

pdf file for Problem Set 3 solutions.

pdf file for Problem Set 4 (due Monday, March 4 in class).

pdf file for solutions to Problem Set 4.

pdf file for Problem Set 5 (due Monday, March 18 in class).

pdf file for solutions to Problem Set 5.

Problem set 6 is CANCELED. Eventually I may post some problems here as exercises about quadratic reciprocity, but there will be nothing to hand in.

pdf file for Problem Set 6 (due Monday, April 1 in class).

pdf file for solutions to Problem Set 6 .

pdf file for Problem Set 7 (due Monday, April 8 in class). Correction (mentioned in class 4/3): the last formula in Problem 2 should be proven only for j from 1 to n (not from zero to n). The file now linked here corrects that, and a small condition needed to get Q_{j} > Q_{j-1}.

pdf file for solutions to Problem Set 7.

pdf file for Problem Set 8 (due Wednesday, April 17 in class).

pdf file for solutions to Problem Set 8.

pdf file for Problem Set 9 (due Monday, April 22 in class).

pdf file for solutions to Problem Set 9.

pdf file for Problem Set 10 (due Monday, May 6 in class). This is the last assignment to hand in.

pdf file for solutions to Problem Set 10.