A poem on the zeta function

1. Mar 15, 2004

Janitor

I came across this at another website which usually does not delve into mathematics at all.

2. Mar 15, 2004

I'm speachless.

Last edited: Mar 23, 2004
3. Mar 15, 2004

Janitor

Then you'd better go get yourself a spech.

Here's a question that came to me today. Does the zeta function serve as a mapping from the complex plane (values of s) onto the complex plane (values of the infinite sum of 1/j^s terms)? I have a gut feeling that the answer is "yes" and also that proving it is either really simple or really difficult, but not sort of hard.

It is obviously not a 1:1 mapping since millions of values of s are known by computer calculation to map to (0,0).

Last edited: Mar 15, 2004