Signed Frequency Certificates and Constraint Costs for Odd Weil Forms
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Abstract
We construct complete signed-frequency certificates for odd Weil forms and prove q_H[h] ≥ −5.289 × 10⁻¹⁹ ‖h‖₂² on the original polar-constrained minimal domain in the reciprocal-theta norm. At arithmetic cutoff sixteen, an exact eleven-null reduction and 206 disjoint positive-frequency allocations pay all 286 negative observations. The 614-direction head retains every mixed covariance with the positive sources and all twelve physical constraint rows. Exact dyadic receiving maps, a full congruence and directed matrix signs certify the complete infinite-dimensional return. A common Schur row bounds the omitted arithmetic shifts; continuous approximation, complete theta kernels, quadrature, root strips and infinite tails are paid in their stated metrics. We also prove degree-independent Fourier locality, quantitative growing-cutoff constraint costs and exact-coordinate precision bounds. The accompanying reader reconstructs the complete source Grams and signed tests from compact source moments.
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Edition files
- main.pdf185.6 KiB · pdf
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98c8a77555acc0ba37219ac3a9840033718f7d372e913b16394ef130a37ddf86 - Signed_frequency_methods_publication.zip173291.8 KiB · package
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1480821ba68bc2308da6af74f04caaed8ceabb38d9890b9e4688bde210ce255a
Available editions
- Edition 1 · 2026-10-27 · public
Research details
- Subjects
- Mathematics · Number Theory · Functional Analysis · Numerical Analysis
- Keywords
- Weil forms, Riemann theta, signed frequency certificates, resolvent Gram matrices, operator null spaces, interval arithmetic
- Manuscript date
- 2026-10-27
- Reader reuse
- No additional permission granted
Scope
A complete cutoff-sixteen signed lower bound on the original polar-constrained minimal odd domain, with full mixed receiving covariances, exact genuine-null transport and paid continuous and arithmetic tails. Quantitative constraint costs, Fourier locality and coordinate-precision estimates accompany the certificate.
Disclosures
AI-assisted mathematical research, computation and manuscript preparation.
Reproduction
The source package includes editable proofs, python-flint 0.9.0 readers, compact certified source enclosures and separate fresh-integration generators. The complete reader checks every mixed-row payment and reconstructs all 206 receiving comparisons from the supplied source moments.