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heartless
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I'm experimenting with zeta function right now, and I assume there must be some kind of patter in zetas of consecutive (even) numbers.
For example when we do,
[tex]\zeta(2)=\pi^2 /6 [/tex]
[tex]\zeta(4)=\pi^4/90 [/tex]
[tex]\zeta(6)=\pi^6/945 [/tex]
[tex]\zeta(8)=\pi^8/9450 [/tex]
However,
[tex]\zeta(12)=691\pi^{12}/638512875 [/tex]
So, Can anyone explain this pattern to me?
I'd really appreciate
For example when we do,
[tex]\zeta(2)=\pi^2 /6 [/tex]
[tex]\zeta(4)=\pi^4/90 [/tex]
[tex]\zeta(6)=\pi^6/945 [/tex]
[tex]\zeta(8)=\pi^8/9450 [/tex]
However,
[tex]\zeta(12)=691\pi^{12}/638512875 [/tex]
So, Can anyone explain this pattern to me?
I'd really appreciate
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