Emmy Noether: Modern LaTeX Drafts and English Translation Working Drafts

Dedicated Emmy Noether record for the Modern LaTeX Editions of Mathematics Manuscripts project. This version adds a small R122 source-audit candidate batch for Papers 13, 16, 20, and 39, while preserving the previous R120/R121/R122 provenance surface.

New source-audit candidate files. Noether_R122_P16_SourceAudit_WebDrop_20260624.zip reports one Paper 16 source-certain German correction on printed p.29: formula [7] and following prose use alpha coefficients, not c coefficients. Noether_R122_P16P13_SourceAudit_WebDrop_20260624.zip preserves that P16 fix and adds two targeted Paper 13 corrections on pp.237-238: the suppressed-index example uses u_alpha/(x_beta,x_gamma), and von Herrn sogenannten should read source von Heun sogenannten. Noether_R122_P20_SourceAudit_WebDrop_20260624.zip reports one Paper 20 source-certain correction on printed p.31: display tag (12') should be source-visible (12), and carries 1000 dpi formula witnesses for formulas (1)-(14). Noether_R122_WebFix_P39_SourceFidelity_189_194_20260624.zip is the current R122-based Paper 39 pp.189-194 source-fidelity candidate.

Status and limits. These additions are candidate/source-audit packages, not promoted critical editions. Paper 13 pp.239-257 remain explicitly unchecked in the P16P13 drop; P16 uses best staged local IA witnesses with ambiguous DPI metadata; P20/P39 are targeted page ranges. No downstream English, Spanish, Japanese, French, Chinese, Ukrainian, Russian, or Interslavic synchronization is implied by this upload.

Reliability warning. This record contains useful working drafts, translation drafts, source witnesses, and source-audit/provenance packets. It is not a certified critical edition. Subtle formula errors, scan-reading errors, apparatus drift, and cross-language synchronization errors may remain. Verify important equations, tables, theorem statements, and unusual notation against the source witnesses before citation-critical use.

Corrections and collaboration. Source comparisons, LaTeX fixes, translation corrections, and reader-facing issue reports can be suggested through GitHub issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.