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Euler: the reciprocal-square sum and the circle constant

Contribution grade

Infinite series · Infinite series

Reference score120,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

An exact reciprocal-square value connects an arithmetic infinite series with the circle constant, together with specified even-power extensions in the work.

Scientific scope

An exact reciprocal-square value connects an arithmetic infinite series with the circle constant, together with specified even-power extensions in the work. This is a historical evaluation without an independent WRS proof audit. The paper's infinite factor reasoning is its original derivation; no claim is made that odd reciprocal-power sums were all evaluated.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

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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