Caution - for Netzilla only


ζ(s) =
2s sin πs
---
2 		 πs-1  Γ(1-s) ζ(1-s)
(s-plane)

=
2s
-------
2s-2
1
----
1s		 - 1
----
2s		 + 1
----
3s		 - 1
----
4s		 + ⋅ ⋅ ⋅
(Re(s) > 0)

=
1
----
1s		 + 1
----
2s		 + 1
----
3s		 + ⋅ ⋅ ⋅ + 1
----
ns		 + ⋅ ⋅ ⋅
(Re(s) > 1)

=

1
----
20		 + 1
----
2s		 + 1
-----
22s		 + ⋅ ⋅ ⋅
×
1
----
30		 + 1
----
3s		 + 1
-----
32s		 + ⋅ ⋅ ⋅
 × ⋅ ⋅ ⋅

=

2s
-------
2s-1
×
3s
-------
3s-1
× ⋅ ⋅ ⋅ ×
ps
-------
ps-1
× ⋅ ⋅ ⋅
(primes)