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Herbrand–Ribet theorem — latest news, discussion & facts — IJR

Herbrand–Ribet theorem

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Herbrand–Ribet theorem

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About Herbrand–Ribet theorem

In mathematics, the Herbrand–Ribet theorem is a result on the class group of certain number fields. It is a strengthening of Ernst Kummer's theorem to the effect that the prime p divides the class number of the cyclotomic field of p-th roots of unity if and only if p divides the numerator of the n-th Bernoulli number Bn

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