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-   -   Zeta nontrivial zeros list (https://www.mersenneforum.org/showthread.php?t=6381)

Damian 2006-09-23 16:53

Zeta nontrivial zeros list
 
Anyone knows where can I download a list of all known nontrivial zeros?
Or an easy algorithm for fast computation of those zeros.
Thanks.
Damian.

ewmayer 2006-09-25 16:08

For download? Uh, I don't think so. Did you do even a [url=http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html]teensy bit[/url] of background-reading/online-searching with regard to the work that has been done in this area?

mfgoode 2006-09-25 17:32

Non trivial zeros;
 
:cool:
ASFAIK; the non trivial zeros have exceeded the billion mark and still counting.
If you are contemplating the proof from this angle its going to be very very difficult. But, I may be wrong so go ahead anyway.
Mally :coffee:

Damian 2006-09-26 13:45

[QUOTE=ewmayer;87889]For download? Uh, I don't think so. Did you do even a [url=http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html]teensy bit[/url] of background-reading/online-searching with regard to the work that has been done in this area?[/QUOTE]

Yes I did some online research, I downloaded a list of the first 100,000 zeros in Odlyzko site: [url]http://www.dtc.umn.edu/~odlyzko/zeta_tables/[/url]
I need more zeros for a probabilistic primality test algoritm I'm developing that uses zeta zeros, and I don't know how to easily calculate these or at last download all the billions known zeros.

ATH 2006-09-26 21:42

Mathworld reports that the Zetagrid distributed project reached 1029.9 billion zeros as of Feb. 18, 2005, and Zetagrid continued to run until December 1st 2005:
[URL="http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html"]http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html[/URL]
[URL="http://www.zetagrid.net/zeta/news.html"]http://www.zetagrid.net/zeta/news.html[/URL]

but I doubt you can download billions of them.

XYYXF 2006-09-26 22:04

[url]http://demichel.net/patrick/patrick.html[/url]

See the bottom of the page :)

jasong 2006-09-28 21:02

[QUOTE=ATH;87961]Mathworld reports that the Zetagrid distributed project reached 1029.9 billion zeros as of Feb. 18, 2005, and Zetagrid continued to run until December 1st 2005:
[URL="http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html"]http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html[/URL]
[URL="http://www.zetagrid.net/zeta/news.html"]http://www.zetagrid.net/zeta/news.html[/URL]

but I doubt you can download billions of them.[/QUOTE]
If you're willing to fatten someone's wallet, and the request doesn't interfere with the person or persons moral standards, you can get most anything.

Off-topic: Money CAN buy happiness, you just have to be darn careful what you spend it on. $10 spent on a suffering friend can be worth more than $1000 spent on yourself.

Damian 2006-09-29 12:34

XYYXF: Thanks a lot, I didn't got that link. :wink:

[QUOTE=jasong;88108]If you're willing to fatten someone's wallet, and the request doesn't interfere with the person or persons moral standards, you can get most anything.

Off-topic: Money CAN buy happiness, you just have to be darn careful what you spend it on. $10 spent on a suffering friend can be worth more than $1000 spent on yourself.[/QUOTE]

I want a dollar for each known nontrivial zeta zero. :cool:

XYYXF 2007-01-09 14:56

First 3,000,000 zeta zeros, rounded to 40 digits after decimal point:

[url]http://www.primefan.ru/stuff/primes/zeta/01.7z[/url]
[url]http://www.primefan.ru/stuff/primes/zeta/02.7z[/url]
[url]http://www.primefan.ru/stuff/primes/zeta/03.7z[/url]

Use 7-Zip utility to extract the text files.

New data will come within a few weeks...

XYYXF 2007-05-08 13:32

Up to 5,000,000 zeros...
[url]http://www.primefan.ru/stuff/primes/zeta/04.7z[/url]
[url]http://www.primefan.ru/stuff/primes/zeta/05.7z[/url]

XYYXF 2007-06-06 23:32

And, finally:
[url]http://www.primefan.ru/stuff/primes/zeta/06.7z[/url]


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