Proof — Trace formula and spectral theory
Statement
Selberg’s trace formula relates the spectrum of the Laplacian on quotients of hyperbolic space to lengths of closed geodesics.
Formula
Selberg trace formula
Equation
Σ λ ↔ Σ lengths
Source
Canonical lineament aligned with TANAAKK IAS Faculty Emeriti index (2026); consult specialist monographs for full proofs.
Domains
mathematics