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View Code? Open in Web Editor NEWFermat's Last Theorem for regular primes
License: Apache License 2.0
Fermat's Last Theorem for regular primes
License: Apache License 2.0
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Compute the discriminant in the p^n
case, for all p
and n
. Essentially done, but some edge case are missing. Also, formulate it in various way, using is_prime_pow
.
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Generalize #29 to prime powers.
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Prove (in general) that if Ξ± is integral, with minimal polynomial Eisenstein at p, and K = β(Ξ±)
then the index of β€[Ξ±] in π_K is prime to p.
Prove (in general) that if Ξ±
is integral and K = β(Ξ±)
then the discriminant K/β
kills π_K/β€[Ξ±]
.
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Prove that the ring of integers of β(ΞΆβ)
is β€[ΞΆβ]
.
Prove that the discriminant of β(ΞΆβ)
is (-1) ^ ((p - 1) / 2) * p ^ (p - 2)
.
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Generalize #25 to prime powers.
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