def definition def or abbrev

`eulerPrimePowerComplex`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 347noncomputable def eulerPrimePowerComplex (p : Nat.Primes) (s : ℂ) : ℂ :=

Definition body.

 348  Complex.exp (-(s * (primeLog p : ℂ)))
 349
 350/-- The complex per-prime regularized determinant factor
 351`(1 - p^{-s}) exp(p^{-s})`. -/

From the project-wide theorem graph. These declarations reference this one in their body.

eulerDet2FactorComplex in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
eulerPrimeLogDerivTermComplex in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimeLogDerivTermComplex_le in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimeLogDerivTermComplex_le_carrierDerivTerm in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimePowerComplex in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimePowerComplex_eq_rpow in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimePowerComplex_lt_one in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_eulerPrimePowerComplex_lt_one_on_sensorCircle in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
norm_form_eq_carrierDerivTerm in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
one_sub_eulerPrimePowerComplex_ne_zero in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use

Lean names referenced from this declaration's body.