Number Theory

    

Irrationality of Pi Using Just Derivatives

Authors: Timothy W. Jones

The quest for an irrationality of pi proof that can be incorporated into an analysis (or a calculus) course is still extant. Ideally a proof would be well motivated and use in an interesting way the topics of such a course. In particular $e^{pi i}$ should be used and the more easily algebraic of derivatives and integrals -- i.e. derivatives. A further worthy goal is to use techniques that anticipate those needed for other irrationality and, maybe even, transcendence proofs. We claim to have found a candidate proof.

Comments: 6 Pages.

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Submission history

[v1] 2023-04-24 07:12:55

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