If i = , find the value of the sum

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- Jun 19th 2013, 04:10 PMEspionageLogarithm Complex Number Help!
If i = , find the value of the sum

- Jun 19th 2013, 04:27 PMPlatoRe: Logarithm Complex Number Help!
Have a look at this.

Because we start the sum index with - Jun 19th 2013, 05:38 PMHallsofIvyRe: Logarithm Complex Number Help!
, , and . That is, is "periodic" with period 4. Your sum is

-log(2)- ilog(3)+ log(4)+ i log(5)- log(6)- ilog(7)+ log(8)+ i log(9)- log(10)= -(log(2)- log(4)- log(6)+ log(8)- log(10))- i(log(3)- log(5)- log(7)+ log(9))

. - Jun 19th 2013, 06:26 PMPlatoRe: Logarithm Complex Number Help!