Number Theory

    

A Proof that Zeta(n >= 2) is Irrational

Authors: Timothy W. Jones

We show that using the denominators of the terms of Zeta(n)-1=z_n as decimal bases gives all rational numbers in (0,1) as single decimals. We also show the partial sums of z_n are not given by such single digits using the partial sum's terms. These two properties yield a proof that z_n is irrational.

Comments: 6 Pages. Further simplifications of last proof.

Download: PDF

Submission history

[v1] 2022-03-10 14:17:18
[v2] 2022-03-16 04:09:09
[v3] 2022-03-21 13:12:57
[v4] 2022-03-27 05:08:28

Unique-IP document downloads: 522 times

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