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Number theory

Irrationality of Catalan’s constant

OpenAI research collection · 1 manuscript · Source checked 2026-10-19

OpenAI's result summary

Proves that Catalan's constant G=\sum_{j\ge0}(-1)^j/(2j+1)^2 is irrational.

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MANUSCRIPT 01

Catalan's constant is irrational

We prove that Catalan's constant G=\sum_{j\geq0}(-1)^j/(2j+1)^2 is irrational.

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