Saturday, March 3, 2018

2pi..........full circle.......on the unit circle................which is a 1 and a 1........unit is one......a circle has 1 side............1 and 1........2pi being full circle........just like what I think is one prime fund.......2 and 11.........2 - 11.........

AND the 1st zero.............can be seen as 2 pi's.............14.13i...............4#s.............like there are 4 primes in single digits (as in those 4 #'s can be taken apart.......and considered as single numbers)................14.13i.............just the imag part...........working beg to mid is 14.............end to middle.............31......over lap the ones..........31 14....is 314......like how pi begins...........3.14....................and with 1/2 + 14i...............1/2.........becomes..............1 + 2 = 3........................that is 3 + 14i..........................drop the i.............it is like 314......like 3.14.........2 pi's in the 1st zero................................one just considering the imag part.......the other way considering the whole thing.........overlap.............and fractal patterns..........b/c one way is the entire complex number........the other way is just the imag part.............



The figures above highlight the zeros in the complex plane by plotting |zeta(z)| (where the zeros are dips) and 1/|zeta(z)| (where the zeros are peaks).
RiemannZetaAbsThe above plot shows |zeta(1/2+it)| for t between 0 and 60. As can be seen, the first few nontrivial zeros occur at the values given in the following table (Wagon 1991, pp. 361-362 and 367-368; Havil 2003, p. 196; Odlyzko), where the corresponding negative values are also roots. The integers closest to these values are 14, 21, 25, 30, 33, 38, 41, 43, 48, 50, ... (OEIS A002410). The numbers of nontrivial zeros less than 10, 10^2, 10^3, ... are 0, 29, 649, 10142, 138069, 1747146, ... (OEIS A072080; Odlyzko).
nSloanet_n
1A05830314.134725
221.022040
325.010858
430.424876
532.935062
637.586178

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