General proof for irrationality of infinite sums based on Fourier's proof
Tomer Shushi
TL;DR
This paper reviews a general proof demonstrating the irrationality of certain numbers expressed as infinite sums, extending Fourier's original proof to a broader class of mathematical constants.
Contribution
It provides a unified framework for proving the irrationality of infinite sum-based numbers, generalizing Fourier's classical proof.
Findings
Established a general proof method for irrationality of infinite sums
Extended Fourier's proof to a wider class of numbers
Clarified conditions under which infinite sums are irrational
Abstract
In this paper we review a general proof for the irrationality property of numbers which take a certain form of infinite sums.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Advanced Mathematical Identities · Polynomial and algebraic computation