Emmy Noether: Modern LaTeX Drafts and English Translation Working Drafts

Dedicated Emmy Noether record for the Modern LaTeX Editions of Mathematics Manuscripts project. The top-level PDFs expose source-checkable German modern LaTeX, English high-fidelity translations, and current multilingual translation pilots. Project coordination and correction proposals are handled through the public GitHub repository: modern-latex-manuscripts. Status at a glance. Numbered-paper German/English stream: Papers 1-43 complete and audited, with the Paper 34 product-table restoration preserved. Spanish/Japanese stream: cumulative readers are complete through Paper 43 and are being recursively scan-audited/backfilled against the German witnesses. French/Simplified Chinese are checkpoint streams rather than complete corpora; they should be cited as work-in-progress multilingual checkpoints, not as complete Noether corpora. Source/artifact preservation: TeX, source-scan witnesses, audit notes, build logs, render checks, and glossary/methodology deltas are preserved in ZIP artifacts. Latest multilingual update, 2026-06-09. N_FRZH_Papers16_17_through_s09_combined_20260609.zip replaces the earlier N_FRZH_Papers16_17_combined_20260609.zip to keep the record within the Zenodo 100-file limit while preserving component package provenance. The replacement combined packet nests the previous Paper 16/Paper 17-through-section-7 bridge and adds N_FRZH_P17s08_09_20260609.zip, the French/Simplified Chinese Paper 17 sections 8-9 continuation. Public FR/ZH checkpoint coverage is therefore Paper 16 complete plus Paper 17 title/front matter, introduction, and sections 1-9, with cumulative FR/ZH outputs through section 9 in the new packet. These files remain AI-run multilingual working translation material; check important equations and terminology against the canonical German/English source and the source scans. Corrections, exact source comparisons, LaTeX fixes, and translation improvements can be suggested through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.