Wednesday, September 13, 2017

What is in a zero anyways?? Nothing plus nottin' is still nothin'......




nSloanet_n
1A05830314.134725
221.022040
325.010858
430.424876
532.935062
637.586178
XiFunctionRootsThe so-called xi-function xi(z) defined by Riemann has precisely the same zeros as the nontrivial zeros of zeta(z) with the additional benefit that xi(z) is entire and xi(1/2+it) is purely real and so are simpler to locate.
ZetaGrid is a distributed computing project attempting to calculate as many zeros as possible. It had reached 1029.9 billion zeros as of Feb. 18, 2005. Gourdon (2004) used an algorithm of Odlyzko and Schönhage to calculate the first 10×10^(12) zeros (Pegg 2004, Pegg and Weisstein 2004). The following table lists historical benchmarks in the number of computed zeros (Gourdon 2004).

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