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Q: Origin of the ZETA_LOG_TABLE? #22
Description
The ZETA_LOG_TABLE constant carries a comment saying // table for riemann zeta function. ZETA_LOG_TABLE[i] = ln(ζ(i-2)), but it seems like the values are actually ln(ζ(k)) for k from 2 to 65?
Furthermore, when I ask Wolfram Alpha for the same list I get numbers that do not quite match up, especially towards the end of the sequence (e.g. there are 0 values and negatives).
Where do the values in the ZETA_LOG_TABLE come from and how were they computed/transformed?
Wolfram outputs this list:
{0.4977,
0.184034,
0.0791099,
0.0362623,
0.0171944,
0.00831461,
0.00406907,
0.00200638,
0.000994081,
0.000494067,
0.000246056,
0.000122706,
0.0000612463,
0.0000305878,
0.0000152821,
7.63717×10^-6,
3.81729×10^-6,
1.90821×10^-6,
9.53962×10^-7,
4.76933×10^-7,
2.3845×10^-7,
1.1922×10^-7,
5.96082×10^-8,
2.98035×10^-8,
1.49016×10^-8,
7.45071×10^-9,
3.72533×10^-9,
1.86266×10^-9,
9.31326×10^-10,
4.65663×10^-10,
2.3283×10^-10,
1.16416×10^-10,
5.82066×10^-11,
2.91038×10^-11,
1.4551×10^-11,
7.27596×10^-12,
3.63709×10^-12,
1.81899×10^-12,
9.08384×10^-13,
4.54747×10^-13,
2.26485×10^-13,
1.13687×10^-13,
5.55112×10^-14,
2.84217×10^-14,
1.31006×10^-14,
7.10543×10^-15,
1.77636×10^-15,
1.77636×10^-15,
-7.77156×10^-16,
4.44089×10^-16,
-1.66533×10^-15,
2.22045×10^-16,
-1.77636×10^-15,
0,
-1.9984×10^-15,
0,
-1.9984×10^-15,
0,
-2.10942×10^-15,
0,
-2.22045×10^-15,
0,
-1.77636×10^-15,
0}
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