Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 015-01. Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type
Manuscript map · lines 2775–2784
OpenAI@2026-10-07#rem:oai-p-015-01
Authors: OpenAI. Family 015.
Title: Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type.
Abstract: We prove the packet form of the higher-dimensional Duke equidistribution problem for totally real fields of any fixed prime degree at least five, allowing arbitrary local homothety types of full lattices. As the multiplier-order discriminant tends to infinity, the volume-weighted packet measures converge to Haar probability measure, with no escape of mass.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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