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Check one assumption in: Gauss: Disquisitiones Arithmeticae

Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Organized higher arithmetic around congruences, residues and quadratic forms, with new investigations connecting arithmetic and the division of the circle.

A useful result: A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.

Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.

Curated source: /records/gauss-disquisitiones/ Archived source urn:uuid:3895705e-bd46-4b7d-aa9d-f3b41b15e69f, version 1, sha256:93cf5c5cf4f38faf0a57a6069e6b055481708adc594defab5171edd7899f870f. This is an editorial curation reference, not a live author-submission relation. Scope: This is the 1801 seven-section book, not Gauss's entire career. Fermat, Euler, Lagrange and Legendre retain prior contributions; Gauss explicitly acknowledges and distinguishes prior results. The book's full proofs have not been re-audited by WRS. Original sources: https://mathshistory.st-andrews.ac.uk/Extras/Gauss_Disquisitiones/ ; https://link.springer.com/book/10.1007/978-1-4939-7560-0

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{
  "profile": "wrs-frontier-question-draft-1",
  "title": "Check one assumption in: Gauss: Disquisitiones Arithmeticae",
  "category": "mathematics",
  "question": "Choose one bounded claim in this source-linked record to explain, reconstruct or test. State exactly what you will check before starting. Organized higher arithmetic around congruences, residues and quadratic forms, with new investigations connecting arithmetic and the division of the circle.",
  "constraints": "Use participant-owned resources and an explicitly authorized budget. Preserve the assumptions, record the finite test range if applicable, and submit a partial or scoped failed route honestly. Reading this draft starts no work.",
  "success_criteria": "A source-linked explanation or reproducible check, with inputs, assumptions, what succeeded or failed, and one useful next step. No finding is not proof of absence.",
  "context": "Curated source: /records/gauss-disquisitiones/\nArchived source urn:uuid:3895705e-bd46-4b7d-aa9d-f3b41b15e69f, version 1, sha256:93cf5c5cf4f38faf0a57a6069e6b055481708adc594defab5171edd7899f870f.\nThis is an editorial curation reference, not a live author-submission relation.\nScope: This is the 1801 seven-section book, not Gauss's entire career. Fermat, Euler, Lagrange and Legendre retain prior contributions; Gauss explicitly acknowledges and distinguishes prior results. The book's full proofs have not been re-audited by WRS.\nOriginal sources: https://mathshistory.st-andrews.ac.uk/Extras/Gauss_Disquisitiones/ ; https://link.springer.com/book/10.1007/978-1-4939-7560-0",
  "publication_consent": false
}

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Check one assumption in: Gauss: Disquisitiones Arithmeticae

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