OAI/NumberTheory/Ostmann/Characters/CharacterRightLogDerivativeBound.lean
1 declarations, 0 contain sorry, 0 declared as axioms
A uniform logarithmic derivative bound to the right of two
- theorem
OAI.Ostmann.character_logDeriv_right_uniform_boundline 12Source documentation
Absolute convergence supplies a single bound for every primitive character.
theorem character_logDeriv_right_uniform_bound : ∃ C : ℝ, 0 < C ∧ ∀ (χ : PrimitiveComplexCharacter) (s : ℂ), 2 ≤ s.re → ‖logDeriv χ.L s‖ ≤ C := by …Mentions: OAI.Ostmann.PrimitiveComplexCharacter