Number Theory

   

Intimations of the Irrationality of Pi From Reflections of the Rational Root Test

Authors: Timothy W. Jones

The rational root test gives a means for determining if a root of a polynomial is rational. If none of the possible rational roots are roots, then if the roots are real, they must be irrational. Combining this observation with Taylor polynomials and the Taylor series for $\sin (x)$ gives intimations that $\pi$, and $e$, are likely irrational.

Comments: 4 Pages. Additional comments and examples added.

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Submission history

[v1] 2019-06-11 07:12:25
[v2] 2019-06-13 07:12:16

Unique-IP document downloads: 19 times

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