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Liouville: 1844 notes establishing transcendental numbers

Contribution grade

Number theory · THEOREM

Reference score280,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Used rational-approximation bounds to prove existence of explicit transcendental-number classes.

Scientific scope

The record treats Liouville's linked Comptes rendus notes of 13 and 20 May 1844 as one tightly bounded achievement. It does not absorb his 1851 synthesis, later named Liouville constants or subsequent transcendence theorems.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record treats Liouville's linked Comptes rendus notes of 13 and 20 May 1844 as one tightly bounded achievement. It does not absorb his 1851 synthesis, later named Liouville constants or subsequent transcendence theorems.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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