What was already known
Earlier p-converses covered specified ordinary, supersingular, CM or Eisenstein cases under local or residual hypotheses. The separate Goldfeld manuscript supplies a p=2 converse and twist-density inputs used here.
AI involvement
OpenAI is the manuscript author and attributes the collection to an internal model. No individual-session autonomy or named human check of this argument is documented.
OpenAI authorship and the collection production account support model-led mathematical work; individual-session autonomy is undocumented.
- Supporting source (github.com) — Scoped original claim, comparison or checking evidence
Importance
This removes the prime and curve restrictions from a central low-rank converse problem.
Limitations
The argument depends on the separate p=2 and twist-density manuscript. No completed check of the unrestricted all-prime theorem is documented. This claim does not evaluate the refined BSD leading coefficient.
Technical verification
No completed human or machine check of this unrestricted all-prime proof is documented. Its separate p=2 and density inputs are also not established by this assessment.
Human understanding
No named human explanation of the argument is documented; Few is the evidence default.
Correction and publication history
Separate all-prime converse argument under the same low-corank hypothesis as the published refined BSD claim.
Read this published revision