One curious proof of Fermat's little theorem

Mathematics – Number Theory

Scientific paper

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3 pages. To appear in American Mathematical Monthly

Scientific paper

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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