  Copyright laws are changing all over the world, be sure to check the copyright laws for your country before posting these files!! Please take a look at the important information in this header. We encourage you to keep this file on your own disk, keeping an electronic path open for the next readers. Do not remove this. **Etexts Readable By Both Humans and By Computers, Since 1971** *These Etexts Prepared By Hundreds of Volunteers and Donations* Title: The value of Zeta(3) to 1,000,000 decimal digits. the number is defined as sum(1/n^3,n=1..infinity), the sum of inverses of cubes and equals 1.2020569031… Editor: Simon Plouffe April, 2001 [Etext #2583] Mathematical constants and numbers edited by Simon Plouffe Associate Professor LaCIM, University of Quebec at Montreal http://www.lacim.uqam.ca/pi : Plouffe's Inverter plouffe@math.uqam.ca We are now trying to release all our books one month in advance of the official release dates, leaving time for better editing. 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[2] Honor the etext refund and replacement provisions of this "Small Print!" statement. We are planning on making some changes in our donation structure in 2000, so you might want to email me, hart@pobox.com beforehand. *END THE SMALL PRINT! FOR PUBLIC DOMAIN ETEXTS*Ver.04.29.93*END* Mathematical constants and numbers edited by Simon Plouffe Associate Professor LaCIM, University of Quebec at Montreal http://www.lacim.uqam.ca/pi : Plouffe's Inverter plouffe@math.uqam.ca The value of Zeta(3) to 1,000,000 decimal digits. the number is defined as sum(1/n^3,n=1..infinity), the sum of inverses of cubes and equals 1.2020569031… Computed by : Sebastian Wedeniwski (wedeniws@de.ibm.com) who computed more than 128 million digits using this more efficient formula found by Theodor Amdeberhan and Doron Zeilberger. / \ 5 4 3 2 with A(n) := 126392 n + 412708 n + 531578 n + 336367 n + 104000 n + 12463 given by Theodor Amdeberhan and Doron Zeilberger (see [1]). References: =========== [1] T. Amdeberhan und D. Zeilberger: Hypergeometric Series Acceleration via [2] B. Haible, T. Papanikolaou: Fast multiprecision evaluation of series of [3] S. Wedeniwski: Piologie - Eine exakte arithmetische Bibliothek in C++, Technical Report WSI 96-35, Tuebingen University, available by anonymous ftp from "ftp://ftp.informatik.uni-tuebingen.de/pub/CA/software/Piologie/" or "ftp://ruediger.informatik.uni-tuebingen.de/Piologie/". |
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