# functional equation for the Riemann Xi function

## Primary tabs

Major Section:
Reference
Type of Math Object:
Theorem

## Mathematics Subject Classification

### tiny nitpick

Isn't the lower-case xi the traditional notation? In tex, it would be \xi rather than \Xi.
Aside, Riemann himself stated his famous conjecture (Riemann hypothesis) in terms of xi, not in terms of zeta. In those terms, the conjecture is that all the zeros of xi are real. It is also suspected that all those zeros are simple.
No big deal anyway.

### Re: tiny nitpick

Yes, I did know that, it really depends who you read. I do have a copy of Riemann's original paper, and he does use the lower case xi, but in most of my textbooks they use the uppercase one, so there is an ambiguity (hence I decided to use the upper case version because I think it looks better ;))