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computer-assisted-proofs

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N = n₁ + n₂ with n₁, n₂ sums of two squares (or values of any class number one form) and Ω(n₁n₂) ≤ 11, max Ω(nᵢ) ≤ 8: paper, linear vector sieve with switching and Richert weights, interval-arithmetic certification.

  • Updated Oct 4, 2026
  • Python

A particle is bouncing on a vertically vibrating parabolic surface. For a given number of impacts between the particle and the surface, periodic orbits are provided for fixed parameter values. A folder containing the code capable of finding these orbits as well as doing rigorous pseudo-arclength continuation in the surface's amplitude of oscilla…

  • Updated Nov 13, 2024
  • MATLAB

Not a Clay solution. Spectral-front identities for periodic Navier-Stokes: a bandwidth-dissipation dichotomy, an exact action representation, and an obstruction to uniform pointwise Osgood closure. Exact-rational certificates; AI-agent review, not human peer review.

  • Updated Sep 1, 2026
  • Python

Proofs and reproducible certificates for geometric conditions that yield zero optimized single-use coherent information but positive quantum capacity in flagged qubit channels with noisy measurement records, including a certified eight-use witness.

  • Updated Oct 5, 2026
  • Python

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