Open Research Index

Integral Matrices of Fixed Rank over Number Fields: Lean formalization

Nihar Gargava

Palomar Registrypalomar/PALOMAR-2026-09-15-000002Sep 15, 2026math.NTscore 0

A Lean formalization of the fixed-rank asymptotic count for integral matrices over a number field and the convergence of moments of lifts of algebraic codes. The public results preserve the submission PDF's main scale, error terms, echelon-integral limit, and denominator normalization. The intermediate-rank height-counting input attributed to Schmidt is an explicit hypothesis; it is not silently assumed as an axiom.

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-09-15-000002
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-15-000002/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-15-000002/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'