Learn more physics!
Do all the zeros (exluding the trivial ones) of this function:
z(s)=(sum from n=1 to n=infinity) 1/n^s
have a real part of .5?
Hilarious? or a waste of time....
- Paul (age 14)
This famous problem, yet unsolved, has been around for almost 150 years. It is one of the most profound, in that it has ramifications in many branches of mathematics including number theory and the theory of prime numbers. It is certainly not a waste of time. Hilarious? I'm not sure of your definition of the word.
(published on 01/11/09)
Follow-up on this answer.