Number Theory

    

A Flaw in the Proof of Riemann Rearrangement Theorem - An Incomplete Mathe-magic Trick

Authors: Marko V. Jankovic

In this paper Riemann rearrangement theorem is going to be analyzed on a single example and it is going to be explained that the proof of the theorem is incomplete and wrong, That means that it does not matter how you rearrange the elements of the series, the sum would always stay the same. The reason that "rearranged" series does not have the same sum as the original series, is in the hidden omission of infinite number of elements that are contained in the original series. The content is presented in the form of explanation of a magic trick (since the claim of the theorem sounds as a real magic).

Comments: 6 Pages.

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Submission history

[v1] 2025-07-21 21:18:33

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