Theorems · Theorem · number theory
ArithmeticFunction.LSeries_vonMangoldt_eq_deriv_riemannZeta_div
∀ {s : ℂ}, 1 < s.re → LSeries (fun n => ↑(ArithmeticFunction.vonMangoldt n)) s = -deriv riemannZeta s / riemannZeta sThe L-series of the von Mangoldt function Λ equals the negative logarithmic derivative
of the Riemann zeta function on its domain of convergence re s > 1.
- Defined in
- Mathlib.NumberTheory.LSeries.Dirichlet
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound
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