`ψ_δ ∘ ψ_k = ψ_{δk}` on `ℚ(q)`.
ProvedTypeDensity.adamsRat_adamsRattype-density
ψ_δ ∘ ψ_k = ψ_{δk} on ℚ(q).
Preamble
import Definitions.Def_TypeDensity_Basic import Definitions.Def_TypeDensity_Reciprocity_Defs import Theorems.Thm_TypeDensity_adamsRat_X import Mathlib.FieldTheory.RatFunc.Basic import Mathlib.MeasureTheory.Measure.Haar.Unique import Mathlib.NumberTheory.ArithmeticFunction.Moebius import Mathlib.NumberTheory.Padics.PadicIntegers import Mathlib.RingTheory.IntegralClosure.IntegralRestrict import Mathlib.RingTheory.MvPowerSeries.Basic import Mathlib.RingTheory.RamificationInertia.Basic import Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology import Mathlib.FieldTheory.RatFunc.AsPolynomial import Mathlib.RingTheory.PowerSeries.Expand import Mathlib.RingTheory.PowerSeries.Log set_option autoImplicit false open TypeDensity
Formal statement
theorem TypeDensity.adamsRat_adamsRat (δ k : ℕ) (hδ : 0 < δ) (hk : 0 < k) (f : RatFunc ℚ) :
adamsRat δ (adamsRat k f) = adamsRat (δ * k) f := by sorrySource
TypeDensity/Reciprocity/Defs.lean#L321-L329