III.D29 — Spectral Parameter Λ(s)

The spectral parameter Λ: s ↦ λ mapping complex s to eigenvalues of H_L. If the determinant representation (O3) holds, then ζ_τ(s) = det(I − Λ(s)·H_L^{−1}) and zeros of ζ correspond to spectral values of H_L.