----- Original Message -----
From: Paul Landon <[EMAIL PROTECTED]>
To: <[EMAIL PROTECTED]>
Sent: Monday, November 08, 1999 9:18 AM
Subject: Mersenne: What's ERH?
> Sorry I'm stupid or ignorant (on Mondays), what's ERH?
> I guess the H is Hypothesis.
>
The RH is for Riemann Hypothesis. The RH is that all zeros
of the Riemann zeta function lie on the line x=1/2 in the Complex plane.
The Riemann zeta function:
zeta (s) = sum of n^(-s) for n=1,2,3,...
zeta (2k) is known for k>0 an integer. I always remember zeta(2) = (pi^2)/4
and I think zeta(4) = (pi^4)/90.
The zeta function has a rich history of which I, alas, know very little.
I think the ERH is the extended RH. I will have to defer to someone who
knows a lot more than I do.
Joth
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