Is it possible to extend the Euler product analytically?
#1
I mean to say that an Euler product can be thought of as an iteration of multiplication and so therefore should have fractional iterates correct?

I think such an extension should probably obey, z E C, G is the gamma function, E(...) is an euler product: E( k=0, z ) k = G(z + 1)

I'm curious as to what
E(k=0, z) f(k) =?

Does anyone know where I could find something about this?
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Is it possible to extend the Euler product analytically? - by JmsNxn - 12/22/2010, 08:50 PM

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