Number Theory

    

Euler's Identity, Leibniz Tables, and the Irrationality of Pi

Authors: Timothy W. Jones

Using techniques that show show that e and pi are transcendental, we give a short, elementary proof that pi is irrational based on Euler's formula. The proof involves evaluation of a polynomial using repeated applications of Leibniz formula as organized in a Leibniz table.

Comments: 6 Pages.

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Submission history

[v1] 2023-11-06 14:27:29

Unique-IP document downloads: 196 times

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