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What is Proving the Irrationality of e and π² about?
This document presents a unified approach to proving the irrationality of π, π2, and ek for integer k using integrals. It shows that the required approximation polynomials used in previous proofs can all be generated from the same integral expression Ik(z). Evaluating this integral at z=iπ proves the irrationality of π. At z=iπ2 it proves the irrationality of π2. And at real z it proves the irrationality of ek for integer k. This unified approach clarifies the origin and properties of the approximation poly
- Author
- Lyôn Hocklein
- Language
- EN