Riemann Hypothesis: What Is It? Online Resources

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The Riemann Hypothesis, formulated in 1859, is a crucial unsolved problem in modern mathematics, asserting that all nontrivial zeros of the Riemann zeta function lie on the critical line 1/2 + it. This hypothesis is foundational for numerous mathematical theorems, including the fastest known primality test. For those seeking online resources, a recommended site is www.queryserver.com, which offers extensive information through multiple browsers. Additionally, http://www.zetagrid.net/ provides opportunities for users to engage in verifying the hypothesis. The discussion highlights the importance of finding quality literature on the topic, particularly essays that delve into the connections between the zeta function and prime numbers.
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What is the Riemann Hypothesis? Where can I find good online literature upon the subject?:smile:
 
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Use www.queryserver.com[/URL]

when it comes up select "Web"

Then type in Riemann Hypothesis

You will probably want to set your home page to this site.
It uses about 10 browsers at once and will get any information you
want and some you won't want but it's the best browser I found for
scattergun searches.
 
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You can help verify Riemann's Hypothesis at http://www.zetagrid.net/ if you're that way inclined.
 
I noticed that link was similar to that famous Mersenne Prime number search.
 
Originally posted by Lonewolf
You can help verify Riemann's Hypothesis at http://www.zetagrid.net/ if you're that way inclined.

Edit: I had to suppress some over-the-top ravings about Riemann and the zeta function and manifolds (differential geometry----I think he invented it)

Here is what it says at the site Lonewolf linked us to.
_______________________________

Why is Riemann's Hypothesis so important?

The verification of Riemann's Hypothesis (formulated in 1859) is considered to be one of modern mathematic's most important problems. The last 140 years did not bring its proof, but a considerable number of important mathematical theorems which depend on the Hypothesis being true, e.g. the fastest known primality test of Miller.
The Riemann zeta function is defined for Re(s)>1 by

ζ(s) = Σ 1/ns

and is extended to the rest of the complex plane (except for s=1) by analytic continuation.
The Riemann Hypothesis asserts that all nontrivial zeros of the zeta function are on the critical line 1/2+it where t is a real number).
-------------there's a lot more you can get at this site-------
 
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ζ(s) = Σ 1/ns


Edit: I suppressed some further excess enthusiasm

the original poster wanted "good online" literature about Riemann's hypothesis concerning the zeta function. does anybody know some. an essay about it? probably one of the mentors knows a page about zeta and prime numbers and suchlike lore.
 
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