feat(Gamma): norm of Gamma on the critical line and its decay#1616
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teorth
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Jun 21, 2026
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This adds the size of the Gamma function on the critical line. There is an exact identity,
‖Γ(1/2+iτ)‖² = π/cosh(πτ), and from it a clean decay bound,‖Γ(1/2+iτ)‖ ≤ √(2π)·exp(-π·abs τ/2). The proof is short, since the reflection formula and conjugation give the cosh form directly. I did not find this stated in the Gamma files already.Tags: AI