One curious proof of Fermat's little theorem

Giedrius Alkauskas

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arXiv · 0801.0805

One curious proof of Fermat's little theorem

Giedrius Alkauskas

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Abstract

We give a proof of Fermat's little theorem which does not use nor arithmetic(Euclidean algorithm) neither algebra (group theory), but it rather employs the field of the formal power series Q((x)). The note is an example of a mathematical joke, though it contains a rigorous proof. (The paper will appear in print exactly as in the version v3).

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Giedrius Alkauskas. 2008-06-11. One curious proof of Fermat's little theorem. https://arxiv.org/abs/0801.0805

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