Collected mathematical works

Read Emmy Noether in your language.

The German source text and AI-translated editions of papers 1–43, the 1929/30 lectures written up by M. Deuring, the Kapferer–Noether work, the bibliography and the lists. Every edition is a PDF and an editable LaTeX source.

Selecting an edition moves to its card.

Complete translations
11 complete editions in nine languages (Chinese and Interslavic each in two scripts), 5 partial translations, and the German source text.

Edition catalogue

Languages and scripts

17 editions

deSource text

Deutsch

German (source text)

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

466 pp.

Authorship, rights and known differences

Authorship. AI-transcribed LaTeX text of the original printings, with editorial corrections recorded in German editions ED0001-ED0028; the Zenodo record lists "AI typesetting & translation" and "TTP" as contributors and describes the text as a working source restoration, not an official or peer-reviewed critical edition.

Rights. Zenodo licence field CC0 1.0; rights artifact-specific.

Known differences.

  • Hosted on Zenodo only; earlier German working sources are kept in the modern-latex-manuscripts repository (sources/noether).
  • The PDF has no bookmarks (outline).
enComplete

English

English

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

463 pp. base text · 468 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Repository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.

Known differences.

  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.

Earlier editions. emmy-noether-en/releases/tag/noether-en-2026-10-24-r2 · doi:10.5281/zenodo.20412587 · doi:10.5281/zenodo.21923145 · doi:10.5281/zenodo.21923146 · doi:10.5281/zenodo.22182296 · doi:10.5281/zenodo.22232932

frComplete

Français

French

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

496 pp. base text · 501 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; the source edition's CC0 notice is reproduced with its own scope.

Known differences.

  • Parts of Papers 24, 30, 31 and 34 contain readings of an earlier English translation that differ from the German text.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.

Earlier editions. emmy-noether-fr/releases/tag/noether-fr-2026-10-24 · doi:10.5281/zenodo.21921884 · doi:10.5281/zenodo.21908301 · emmy-noether-fr/releases/tag/ed0014-v051-r1

koComplete

한국어

Korean

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

519 pp. base text · 525 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; earlier notices apply within their scope.

Known differences.

  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.

Earlier editions. emmy-noether-ko/releases/tag/noether-ko-2026-10-24 · doi:10.5281/zenodo.21921524 · doi:10.5281/zenodo.21921523 · doi:10.5281/zenodo.20412587 · emmy-noether-ko/releases/tag/v1.0.0

zh-HansComplete

简体中文

Chinese, Simplified

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

425 pp. base text · 430 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Compilation and script-conversion program: OpenAI Codex (GPT-5.6 Sol, Ultra), 12 August 2026. Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; bundled Noto fonts under SIL OFL 1.1.

Known differences.

  • Papers 24, 31, 32 and 34 (and parts of 35 and 40) follow an earlier English translation whose formulas differ from the German text in places.
  • Paper 38: a Fraktur 𝔭 may be printed as p.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.

Earlier editions. emmy-noether-zh-hans/releases/tag/noether-zh-Hans-2026-10-24-r2 · doi:10.5281/zenodo.21933035 · doi:10.5281/zenodo.21933034 · doi:10.5281/zenodo.20836874 · doi:10.5281/zenodo.22172487 · doi:10.5281/zenodo.22177336 · doi:10.5281/zenodo.20412587

zh-HantComplete

繁體字形式

Chinese, Traditional characters

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

427 pp. base text · 432 pp. with emendations

Authorship, rights and known differences

Authorship. Program-generated Traditional-character form of the AI-translated Simplified Chinese text. Corrections and typesetting as for the Simplified Chinese edition.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • Same text as the Simplified Chinese edition, so the same differences apply.

Earlier editions. modern-latex-manuscripts/releases/tag/noether-zh-Hant-2026-10-24-r2

esComplete

Español

Spanish

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

478 pp. base text · 483 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • Papers 23, 24, 30, 31, 32, 34 and 37 (and parts of 35 and 40) follow an earlier English translation whose formulas differ from the German text in places; in Paper 31, section 8.2 is shortened.
  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 2: three footnotes of the German text (the note on Σ₃ and the citations of Gordan–Kerschensteiner, pp. 92 and 134) are marked only by an asterisk or attached to a neighbouring sentence.
  • Paper 20 and the 1929/30 lectures: some readings may differ from the German text.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • The PDFs have no bookmarks (outline).

Earlier editions. modern-latex-manuscripts/releases/tag/noether-es-2026-10-24-r2

ruComplete

Русский

Russian

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

523 pp. base text · 528 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Repository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.

Known differences.

  • Papers 23, 24, 30, 31, 32, 34, 37 and 41–43 (and parts of 35 and 40) follow an earlier English translation whose formulas differ from the German text in places.
  • Paper 43 is a shortened text, about a third of the full paper; Papers 41 and 42 are shortened to about four fifths.
  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 2: three footnotes of the German text (the note on Σ₃ and the citations of Gordan–Kerschensteiner, pp. 92 and 134) are marked only by an asterisk or attached to a neighbouring sentence.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • The PDFs have no bookmarks (outline).

Earlier editions. emmy-noether-ru/releases/tag/noether-ru-2026-10-24-r2 · doi:10.5281/zenodo.20412587 · doi:10.5281/zenodo.21926366 · doi:10.5281/zenodo.21940320 · doi:10.5281/zenodo.22052699

ukComplete

Українська

Ukrainian

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

503 pp. base text · 508 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Repository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.

Known differences.

  • Papers 23, 24, 30, 31, 32, 34, 37 and 41–43 (and parts of 35 and 40) follow an earlier English translation whose formulas differ from the German text in places.
  • Paper 43 is a shortened text, about a third of the full paper; Papers 41 and 42 are shortened to about four fifths.
  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 2: three footnotes of the German text (the note on Σ₃ and the citations of Gordan–Kerschensteiner, pp. 92 and 134) are marked only by an asterisk or attached to a neighbouring sentence.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • The PDFs have no bookmarks (outline).

Earlier editions. emmy-noether-uk/releases/tag/noether-uk-2026-10-24-r2 · doi:10.5281/zenodo.20412587 · doi:10.5281/zenodo.21926373 · doi:10.5281/zenodo.21940320 · doi:10.5281/zenodo.22053778

isv-LatnComplete

Medžuslovjansky

Interslavic, Latin script

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

482 pp. base text · 487 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Repository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.

Known differences.

  • Papers 23, 24, 30, 31, 32, 34, 37 and 41–43 (and parts of 35 and 40) follow an earlier English translation whose formulas differ from the German text in places.
  • Paper 43 is a shortened text, about a third of the full paper; Papers 41 and 42 are shortened to about four fifths.
  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 2: three footnotes of the German text (the note on Σ₃ and the citations of Gordan–Kerschensteiner, pp. 92 and 134) are marked only by an asterisk or attached to a neighbouring sentence.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • The PDFs have no bookmarks (outline).

Earlier editions. emmy-noether-isv/releases/tag/noether-isv-2026-10-24-r2 · doi:10.5281/zenodo.20412587 · doi:10.5281/zenodo.21926382 · doi:10.5281/zenodo.22077468

isv-CyrlComplete

Меджусловјанскы

Interslavic, Cyrillic script

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

502 pp. base text · 507 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Cyrillic-script form of the Interslavic text. Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Repository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.

Known differences.

  • Same text as the Latin-script edition, so the same differences apply.
  • The PDFs have no bookmarks (outline).

Earlier editions. emmy-noether-isv/releases/tag/noether-isv-2026-10-24-r2 · doi:10.5281/zenodo.20412587 · doi:10.5281/zenodo.21926382 · doi:10.5281/zenodo.22077468

jaComplete

日本語

Japanese

Papers 1–43 · 1929/30 lectures (M. Deuring) · Kapferer–Noether · bibliography and lists

422 pp. base text · 427 pp. with emendations

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026.

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; earlier notices in NOTICE_HISTORIQUE.md.

Known differences.

  • Papers 32, 34 and 40 (and parts of 30, 35, 41 and 42) follow an earlier English translation whose formulas differ from the German text in places; Papers 40 and 41 are shortened to about three quarters.
  • Paper 2: in two places the text reads ĵ where the German text reads ϑ̂.
  • Papers 1 and 2 may lack some multiplication dots of the German text.
  • Paper 2: the footnote on Σ₃ is attached to a neighbouring sentence; its place in the display carries only the mark *).
  • Papers 10, 13 and 38: some readings may differ from the German text.
  • Paper 15, display (7): the substitution is written ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • The PDFs have no bookmarks (outline).

Earlier editions. emmy-noether-ja/releases/tag/noether-ja-2026-10-24-r2 · doi:10.5281/zenodo.21921485 · doi:10.5281/zenodo.21908301

arPartial

العربية

Arabic

Works 1-8 complete and 50 of the 197 segments of work 9; editable LaTeX sources, no PDF.

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra).

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • No PDF is published for this partial translation.
faPartial

فارسی

Persian

Works 1-8 complete and 50 of the 197 segments of work 9; editable LaTeX sources, no PDF.

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra).

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • No PDF is published for this partial translation.
idPartial

Bahasa Indonesia

Indonesian

Paper 36 and the opening of Paper 6; editable LaTeX sources, no PDF.

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Corrections and typesetting: OpenAI Codex (GPT-6 Astra, Ultra).

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • No PDF is published for this partial translation.
trPartial

Türkçe

Turkish

Paper 36; editable LaTeX source, no PDF.

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Source preparation: OpenAI Codex (GPT-6 Astra, Ultra).

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • No PDF is published for this partial translation.
viPartial

Tiếng Việt

Vietnamese

Three pages of Paper 1; editable LaTeX source, no PDF.

Authorship, rights and known differences

Authorship. AI-translated. Translation: OpenAI Codex (model not recorded). Source preparation: OpenAI Codex (GPT-6 Astra, Ultra).

Rights. Rights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

Known differences.

  • No PDF is published for this partial translation.

Two text layers

Original readings and corrected text, side by side.

01

Base text

Keeps the readings of the original printings. Editorial notes discuss the readings in question.

02

Text with emendations

Applies the editorial corrections. Each correction is explained in an editorial note.

03

Editable sources

Each layer is one LaTeX file with every text and preamble, plus a source archive with the original file structure and a build program.

Authors and provenance

Authors, translation and rights.

The mathematical works are by Emmy Noether and the co-authors named in them: Werner Schmeidler (Paper 17), R. Brauer (Paper 32), and R. Brauer and H. Hasse (Paper 38). The 1929/30 lectures were written up by M. Deuring; work 45 is by H. Kapferer, with a supplement written jointly with E. Noether.

All translations listed here are AI-translated.

EditionTranslationCorrections and typesetting
EnglishOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
FrenchOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
KoreanOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
Chinese, SimplifiedOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026. Compilation and script-conversion program: OpenAI Codex (GPT-5.6 Sol, Ultra), 12 August 2026
Chinese, Traditional charactersGenerated from the Simplified Chinese text (opencc-python-reimplemented 0.1.7, s2t)As for the Simplified Chinese edition
SpanishOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
RussianOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
UkrainianOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
Interslavic, Latin scriptOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
Interslavic, Cyrillic scriptCyrillic-script form of the Interslavic text; OpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
JapaneseOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra), 23–24 October 2026; Claude Opus 5.5 (Anthropic), 26 October 2026
ArabicOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra)
PersianOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra)
IndonesianOpenAI Codex (model not recorded)OpenAI Codex (GPT-6 Astra, Ultra)
TurkishOpenAI Codex (model not recorded)Source preparation: OpenAI Codex (GPT-6 Astra, Ultra)
VietnameseOpenAI Codex (model not recorded)Source preparation: OpenAI Codex (GPT-6 Astra, Ultra)
EditionRights statement of the edition
German (source text)Zenodo licence field CC0 1.0; rights artifact-specific.
EnglishRepository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.
FrenchRights with their holders; distributed on a presumption of no objection; no new licence; the source edition's CC0 notice is reproduced with its own scope.
KoreanRights with their holders; distributed on a presumption of no objection; no new licence; earlier notices apply within their scope.
Chinese, SimplifiedRights with their holders; distributed on a presumption of no objection; no new licence; bundled Noto fonts under SIL OFL 1.1.
Chinese, Traditional charactersRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
SpanishRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
RussianRepository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.
UkrainianRepository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.
Interslavic, Latin scriptRepository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.
Interslavic, Cyrillic scriptRepository LICENSE: CC0 1.0 for project-created material; README: rights with their holders; distributed on a presumption of no objection; no new licence.
JapaneseRights with their holders; distributed on a presumption of no objection; no new licence; earlier notices in NOTICE_HISTORIQUE.md.
ArabicRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
PersianRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
IndonesianRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
TurkishRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.
VietnameseRights with their holders; distributed on a presumption of no objection; no new licence; repository LICENSE: CC0 1.0 for project-created material.

This page grants no licence for the editions.

Known differences

What still differs from the German text.

Some papers were translated from an earlier English translation whose formulas differ from the German text in places:

EditionPapers
Frenchparts of 24, 30, 31 and 34
Chinese, Simplified and Traditional characters24, 31, 32 and 34; parts of 35 and 40
Spanish23, 24, 30, 31, 32, 34 and 37; parts of 35 and 40 (in Paper 31, section 8.2 is shortened)
Russian, Ukrainian, Interslavic (both scripts)23, 24, 30, 31, 32, 34, 37 and 41–43; parts of 35 and 40 (Paper 43 is about a third of the full paper; Papers 41 and 42 are about four fifths)
Japanese32, 34 and 40; parts of 30, 35, 41 and 42 (Papers 40 and 41 are about three quarters)
  • Paper 2: in two places the English, Spanish, Japanese, Russian, Ukrainian and Interslavic editions read ĵ where the German text reads ϑ̂.
  • Papers 1 and 2: the English edition and the editions translated from it may lack some multiplication dots of the German text.
  • Paper 2: in the Spanish, Russian, Ukrainian and Interslavic editions, three footnotes of the German text (the note on Σ₃ and the citations of Gordan–Kerschensteiner, pp. 92 and 134) are marked only by an asterisk or attached to a neighbouring sentence; in the Japanese edition this applies to the note on Σ₃.
  • Paper 15, display (7): every translation writes the substitution ξ14 = ξ13 only; the German display also substitutes ξ24 = ξ23, while the German text before it names only ξ14 = ξ13.
  • Paper 30: the notation may differ between editions in places.
  • Japanese: some readings in Papers 10, 13 and 38 may differ from the German text.
  • Spanish: some readings in Paper 20 and in the 1929/30 lectures may differ from the German text.
  • Chinese (both scripts): in Paper 38 a Fraktur 𝔭 may be printed as p.
  • The PDFs of the Spanish, Russian, Ukrainian, Interslavic and Japanese editions and of the German source text have no bookmarks.