Research Article · Preprint Mathematics
Distributional traces and central moment tests for Vámos quartics
- Primary subject
- Mathematics
- Subject subfields
- Analysis and Spectral Theory
- Paper type
- Research Article
- Manuscript stage
- Preprint
- Manuscript
- Archived
- Edition
- 1 · Permanent link
Overview
Abstract
For the stable quartics hλ = 4e₁e₃ + λa²b², we establish moving-graph traces of the joint corner expansion of hλ^(−1/2) and finite moving-plane jets at the endpoint λ = 64/27. Exact inverse equations provide uniform conormal ellipticity; a Bessel annihilator makes the facet symbol identically 4/3 on its moving plane. The leading facet trace is an explicit positive ellipse measure of mass √3/2. We also construct canonical signed central-band moment functionals and prove quantitative convergence to the moments of 2 Beta(1/4,1/4). Every fixed finite Hankel and associated localizer block is then strictly positive in sufficiently narrow bands. An all-order conditional beta law and exact exclusions of independent positive shifts and coordinate-monotone positive transports complete the structural picture.
Scope of the work
Moving graph and facet traces for the specified stable Vámos quartics, canonical signed central-band moment functionals, fixed finite positivity tests, a conditional beta law and precise positive-transport exclusions.
Reproduction notes
Editable source, pinned symbolic dependencies, build instructions and exact finite verification are supplied in the publication package.
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Cite this edition
Scott Schubr. (2026). Distributional traces and central moment tests for Vámos quartics (Version 1). Luminary Research Archive. https://research.luminaryoddities.com/distributional-traces-central-moment-tests-vamos-quartics/v/1
BibTeX
@techreport{luminary_distributional_traces_central_moment_tests_vamos_quartics_v1,
title = {Distributional traces and central moment tests for Vámos quartics},
author = {Scott Schubr},
year = {2026},
institution = {Luminary Research Archive},
type = {Research Article},
note = {Version 1},
url = {https://research.luminaryoddities.com/distributional-traces-central-moment-tests-vamos-quartics/v/1}
}Loading discussion…