[This question](http://mathoverflow.net/questions/139975/positivity-of-the-norm-of-an-element-of-a-cyclotomic-field) was originally asked in MSE about a year ago.
Nobody has answered it.
So I posted it here.
I wonder why they think it's not research level.
Because the question is elementary and every undergraduate student can understand what it means?
I have no intention to compare my question with the FLT, but cannot resist the temptation to bring it up.
Everybody understands what the FLT means.
However, certainly it's research level.

**EDIT** 
*I have no intention to compare my question with the FLT, but cannot resist the temptation to bring it up.*

I would like to change this into the following statement.

*I don't think my question is as imortant as the FLT, but cannot resist the temptation to bring it up.*