Prove that for all a>0 ∫_([−a;a]) arg(Γ((1/2) −ix))dx =0 Deduce that f: x→arg(Γ((1/2) −ix)) is an old function on R


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Question Number 120554 by snipers237 last updated on 01/Nov/20

$P r o v e t h a t f o r a l l a > 0$ $\int_{[- a; a]} a r g (Γ (\frac{1}{2} - i x)) d x = 0$ $D e d u c e t h a t$ $f : x \to a r g (Γ (\frac{1}{2} - i x)) i s a n o l d f u n c t i o n o n R$
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