OPEN PROBLEMS
Complex Analysis
Spring 2006

When mathematicians refer to an “open problem,” they mean a problem that no one has solved!  Here are some problems that are “open,” at least for our class.   Except where indicated, the first person to solve them and write out a complete proof will earn the points.  I will accept solutions from a group, but the points will be divided among the members.  If a problem remains unsolved, the number of points it is worth goes up...
 
 

Problem

Date

Posted 

Points

Prove Napoleon’s Theorem

1/30/06

3 points

Challenge problems on roots of unity.

1/30/06

Problems 1, 2, and 4 were solved by Brittany, and problem 1 was solved by Jiaming.  Problem 3 is now worth 2 points, and each part of problem 5 is worth 1 point (for a total of 5 points).

Prove or disprove: .

2/6/06

1 point.  The statement is true and was proved by Brittany.