http://www.arsmathematica.net/2005/07/03/elementary-version-of-riemann-hypothesis/ Dedicated to the mathematical arts. Fri, 29 May 2015 09:17:44 +0000 hourly 1 https://wordpress.org/?v=4.1.41 http://www.arsmathematica.net/2005/07/03/elementary-version-of-riemann-hypothesis/#comment-62 Tue, 05 Jul 2005 03:17:20 +0000 http://www.arsmathematica.net/?p=78#comment-62 I imagine the bound is pretty sharp. The Riemann hypothesis is supposed to be a best possible kind of result, and I’d think that applies here. Most numbers won’t be close to the bound (for example, for primes the left-hand side is n+1), but for a strictly-increasing right-hand side, it’s probably the best you can do.

]]> http://www.arsmathematica.net/2005/07/03/elementary-version-of-riemann-hypothesis/#comment-61 Mon, 04 Jul 2005 20:22:05 +0000 http://www.arsmathematica.net/?p=78#comment-61 I am not suprised I have never heard of it, but I do find myself asking the question (yes, I realize I could read the paper, but I figure you aready have ) How sharp is that?

]]>