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Safwane
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Riemann Siegel function and gamma function

I ask about an idea to prove this formula:

$Γ(1/2-iβ)=((√π)/(√(coshπβ)))exp(-i(2ϑ(β)+βln2π+arctan(tanh(1/2)πβ)))$

where $ϑ(β)$ is the Riemann Siegel function.

Safwane
  • 1.2k
  • 8
  • 21