Luminary Research Archive
Luminary Research ArchiveIndependent scholarship
Luminary Portal

All Research

Research

29 papers
Browse papers
  1. A Positive Corner Limit for Inverse Half-Powers of Vámos QuarticsScott SchubrEdition 2 · 2026-10-27 Public
  2. An explicit global lower certificate for a weighted Weil operatorScott SchubrEdition 2 · 2026-10-27 Public
  3. Odd Weil-form bounds by positive exterior eliminationScott SchubrEdition 2 · 2026-10-27 Public
  4. Certified complementary bounds for an odd Weil receiverScott SchubrEdition 1 · 2026-10-27 Public
  5. RH, Approximately: Certified Lower Bounds for Odd Weil PositivityScott SchubrEdition 1 · 2026-10-27 Public

A Positive Corner Limit for Inverse Half-Powers of Vámos Quartics

Original PDF · First-page preview

Loading original first page…

Abstract

For each fixed parameter 0<λ≤64/27, we determine an anisotropic corner limit of the inverse Laplace distribution of a stable Vámos quartic raised to the power -1/2. The limit is an explicit positive density with arcsine slope sections. Convergence holds jointly in all scaled variables, including the variable in which the exact partial inverse has a logarithmic singularity. The proof uses a modified Bessel partial inverse, differentiation to remove logarithmic counterterms, and quantitative bounds for inversion on growing frequency regions. We also determine the first correction in the same joint distribution topology. The result assumes no positivity of the full inverse distribution.

Read the full paper in the original PDF.