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zetafunction
Sep14-11, 04:34 PM
let be n and integer and 'i' the imaginary unit

is then true that n^{ \frac{2i\pi n}{log}} =1

i believe that is true

AndyJohnD
Sep14-11, 05:19 PM
let be n and integer and 'i' the imaginary unit

is then true that n^{ \frac{2i\pi n}{log}} =1

i believe that is true
new to this forum
and newish to complex numbers
could you explain what (2ipin)/log is?
ie what is something/log
It may be that I am unfamiliar with the notation
thanks

mathman
Sep15-11, 03:39 PM
log by itself is meaningless. You need log(something).

AndyJohnD
Sep15-11, 05:07 PM
thanks
I thought I would try and prove the identity but then got stuck on log of thin air

alexfloo
Sep16-11, 05:11 PM
http://en.wikipedia.org/wiki/Root_of_unity

This article should give you some insight.