No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
60noncomputable def PrimeSum (σ : ℝ) : ℝ :=
proof body
Definition body.
61 ∑' (p : Nat.Primes), (p : ℝ) ^ (-σ)
62
63/-- The Hilbert–Schmidt norm squared of the prime operator A(s):
64 ‖A(s)‖₂² = ∑_p |p^{−s}|² = ∑_p p^{−2σ}.
65 This is the key convergence condition. -/
depends on (13)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
A
in IndisputableMonolith.Masses.Anchor
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
A
in IndisputableMonolith.Modal.Actualization
decl_use
-
Primes
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use