Mathlib Map

Theorems · Theorem · number theory

DirichletCharacter.Odd.gammaFactor_def

∀ {N : ℕ} {χ : DirichletCharacter ℂ N}, χ.Odd → ∀ (s : ℂ), χ.gammaFactor s = (s + 1).Gammaℝ
Defined in
Mathlib.NumberTheory.LSeries.DirichletContinuation
Cited by
1 results in Mathlib
Foundations
Depth 256 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DirichletCharacter.LFunction_eq_completed_div_gammaFactor · cited by 0DirichletCharacter.LFunct…Complex · cited by 5565ComplexDirichletCharacter · cited by 161DirichletCharacterComplex.Gammaℝ · cited by 60Complex.GammaℝDirichletCharacter.Odd · cited by 11DirichletCharacter.OddDirichletCharacter.gammaFactor · cited by 3DirichletCharacter.gammaF…DirichletCharacter.Odd.not_even · cited by 1Odd.not_evenOdd.gammaFactor_defCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.