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zetafunction
Jun9-11, 04:28 PM
Arg\xi (1/2+iz)

however i am a bit ashamed because the Riemann Xi function is real for real 'z' so for ALL the real numbers the argument of the \xi(1/2+iz) should be 0 กก

Bill Simpson
Jun11-11, 12:28 PM
http://www.wolframalpha.com/input/?i=plot+1%2f2(1%2f2%2bI+z)((1%2f2%2bI+z)-1)Gamma((1%2f2%2bI+z)%2f2)%2fPi^((1%2f2%2bI+z)%2f2 )Zeta((1%2f2%2bI+z))&incParTime=true

In the graph in the middle you can barely see the hint of the orange horizontal line for the complex part that is lying on the x axis.

zetafunction
Jun11-11, 04:35 PM
thanks a lot Bill... :)