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Line 19: ''φ'' is a Fourier transform of ''F'': :: <math>\varphi(t) = \int_{-\infty}^\infty F(x)e^{itx}\,dx</math> ''Φ''(1/2 + ''it'') = ''φ''(''t'') *''Ψ''(''t'') = −log(''π'') + Re(''ψ''(1/4 + ''it''/2)), where ''ψ'' is the [[digamma function]] Γ′/Γ.

Explicit formulae for L-functions: Difference between revisions