Zeta nontrivial zeros list

Damian · 2006-09-23, 16:53

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 teensy bit of background-reading/online-searching with regard to the work that has been done in this area?

mfgoode · 2006-09-25, 17:32

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

Damian · 2006-09-26, 13:45

Quote:

Originally Posted by ewmayer

For download? Uh, I don't think so. Did you do even a teensy bit of background-reading/online-searching with regard to the work that has been done in this area?

Yes I did some online research, I downloaded a list of the first 100,000 zeros in Odlyzko site: http://www.dtc.umn.edu/~odlyzko/zeta_tables/
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:
http://mathworld.wolfram.com/Riemann...tionZeros.html
http://www.zetagrid.net/zeta/news.html

but I doubt you can download billions of them.

XYYXF · 2006-09-26, 22:04

http://demichel.net/patrick/patrick.html

See the bottom of the page :)

jasong · 2006-09-28, 21:02

Quote:

Originally Posted by ATH

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:
http://mathworld.wolfram.com/Riemann...tionZeros.html
http://www.zetagrid.net/zeta/news.html

but I doubt you can download billions of them.

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.

Quote:

Originally Posted by jasong

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.

I want a dollar for each known nontrivial zeta zero.

XYYXF · 2007-01-09, 14:56

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

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

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...
http://www.primefan.ru/stuff/primes/zeta/04.7z
http://www.primefan.ru/stuff/primes/zeta/05.7z

XYYXF · 2007-06-06, 23:32

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

2006-09-23, 16:53	#1
Damian May 2005 Argentina BA₁₆ Posts	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.

2006-09-25, 17:32	#3
mfgoode Bronze Medalist Jan 2004 Mumbai,India 2²×3³×19 Posts	Non trivial zeros; 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

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2006-09-25, 16:08	#2
ewmayer ∂²ω=0 Sep 2002 República de California 2²·2,939 Posts	For download? Uh, I don't think so. Did you do even a teensy bit of background-reading/online-searching with regard to the work that has been done in this area?

2006-09-26, 21:42	#5
ATH Einyen Dec 2003 Denmark 6572₈ Posts	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: http://mathworld.wolfram.com/Riemann...tionZeros.html http://www.zetagrid.net/zeta/news.html but I doubt you can download billions of them.

2006-09-26, 22:04	#6
XYYXF Jan 2005 Minsk, Belarus 2⁴×5² Posts	http://demichel.net/patrick/patrick.html See the bottom of the page :)

2007-01-09, 14:56	#9
XYYXF Jan 2005 Minsk, Belarus 2⁴×5² Posts	First 3,000,000 zeta zeros, rounded to 40 digits after decimal point: http://www.primefan.ru/stuff/primes/zeta/01.7z http://www.primefan.ru/stuff/primes/zeta/02.7z http://www.primefan.ru/stuff/primes/zeta/03.7z Use 7-Zip utility to extract the text files. New data will come within a few weeks...

2007-05-08, 13:32	#10
XYYXF Jan 2005 Minsk, Belarus 190₁₆ Posts	Up to 5,000,000 zeros... http://www.primefan.ru/stuff/primes/zeta/04.7z http://www.primefan.ru/stuff/primes/zeta/05.7z

2007-06-06, 23:32	#11
XYYXF Jan 2005 Minsk, Belarus 400₁₀ Posts	And, finally: http://www.primefan.ru/stuff/primes/zeta/06.7z