Future Expedition Ideas

Possible directions for future investigation.

Random Matrix Theory Connections

GUE statistics, pair correlations, spectral analogies

Functional Equation Symmetries

Zeta's symmetries and implications for crossings

Near-Zeros & Almost-Crossings

What happens near a true zero? Clustering and shape of near misses

Hyperbolic or Geometric Views of Zeta

Polar metric spaces, distance between zeros, geometric invariants

Prime "Signature" (Mixed-Radix) Representations

Representing integers by their prime exponent vectors