Registry · Definition III.D16 tau-effective formalized

III.D16 — Universal Operator

The universal operator H_∞ on L²(Char(L)). At τ-effective cutoff N: H_{≤N} = P_{≤N} ⊙ H_∞ ⊙ P_{≤N}. All L-functions unified as spectral determinants: L_{≤N}(s,π) = det(I − s⁻¹ H_{π,≤N}). Riemann ζ, Dirichlet L, etc. as special cases.

Book III Part 2 Ch. 11

Dependency Graph

Depends on (1)

Depended on by (3)

Lean Formalization

Module: TauLib.BookIII.Sectors.LanglandsReflection

Symbol: universal_operator