Theorems · Theorem · number theory
ZMod.completedLFunction_modOne_eq
∀ (Φ : ZMod 1 → ℂ) (s : ℂ), ZMod.completedLFunction Φ s = Φ 1 * completedRiemannZeta s
The completed L-function of a function ZMod 1 → ℂ is a scalar multiple of the completed Riemann
zeta function.
- Defined in
- Mathlib.NumberTheory.LSeries.ZMod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.completedLFunction_modOne_eqproof · cited by 1