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Nontrivial Riemann Zeros
The complex zeros of ζ(s) lying on the critical line Re(s) = ½ — the skeleton of the spectral operator.
The Riemann zeta function ζ(s) has nontrivial zeros ρₙ = ½ + iγₙ. Their imaginary parts γₙ form a discrete unbounded sequence with rich arithmetic content.
Hilbert and Pólya proposed that the γₙ are eigenvalues of a self-adjoint operator. Modern spectral neutronics adopts a computational form of that hypothesis: use precomputed γₙ tables as an invariant basis for physical operators.
Cutoff γ controls truncation of the basis and therefore the analytical error of the closure.