Content deleted Content added
→References: +1990 reissue |
|||
Line 2:
==Explicit formula for the Riemann zeta function==
There are several slightly different ways to state the explicit formula.
Weil's form of the explicit formula states
Line 16 ⟶ 15:
*φ is a Fourier transform of ''F'': <math>\phi(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.
Roughly speaking, the explicit formula says the Fourier transform of the zeros of the zeta function
| |||