recognition /
NumberTheory /
NumberTheory.EulerInstantiation /
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formal statement (Lean)
358 noncomputable def eulerPrimeLogDerivTermComplex (p : Nat.Primes) (s : ℂ) : ℂ :=
proof body
Definition body.
359 ((primeLog p : ℂ) * (eulerPrimePowerComplex p s) ^ 2) /
360 (1 - eulerPrimePowerComplex p s)
361
362 /-- The actual reciprocal zeta function. Around a hypothetical zero, this is the
363 meromorphic object whose sampled phase should realize the defect charge. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (13)
Lean names referenced from this declaration's body.
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
phase
in IndisputableMonolith.Foundation.EightTick
decl_use
defect
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
eulerPrimePowerComplex
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
primeLog
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
Primes
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
zeta
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use