Herbrand-Ribet theorem
Brocard's conjecture
Ax-Kochen theorem
Dickson's conjecture
Euclid's lemma
quadratic reciprocity
Romanov's theorem
Euler's criterion
prime number theorem
p-adic absolute value
splitting field
p-adic norm
Cunningham chain
Bertrand-Chebyshev theorem
fundamental theorem of arithmetic
Zariski-Riemann space
Chebyshev's theorem
Witt group
safe prime
Wall-Sun-Sun prime
Betti number
primality
Schinzel's hypothesis H
cototient
Brun's theorem
p-adic ordinal
van der Waerden's theorem
Bombieri-Friedlander-Iwaniec theorem
Chen prime
Kummer ring
Sophie Germain prime
unirational
p-adic order
Fermat's little theorem
extraspecial
Blum integer
p-adic ultrametric
Green-Tao theorem
primorial prime
Ax-Grothendieck theorem
real number
Catalan number
primorial
ultrapolynomial
Faulhaber's formula
cyclic number
Euclidean norm
Neukirch-Uchida theorem
Eisenstein prime
Siegel-Walfisz theorem
algebraically closed
Poincaré space
abc conjecture
pseudoradical
cyclotomic polynomial
Ford circle
cuban prime
normal
modular calculus
perfect field
semiprime
Abel polynomial
overprime
prime factor
regular prime
residue field
n-adic
gamma function
coclass
quadratic residue
unary
Gougu rule
Shor's algorithm
Mersenne prime
Gauss-Lucas theorem
Gougu theorem
P-complete
Elliott-Halberstam conjecture
Tarski-Seidenberg theorem
de Bruijn-Erdős theorem
totient
Goldbach number
Gilbreath's conjecture
Frobenius endomorphism
prime triplet
Proth prime
transcendence degree
cousin prime
statistical randomness
principal root
Gröbner basis
number-theoretic
Chinese remainder theorem
Legendre symbol
Narayana number
hypergeometric series

English words for 'A result on the class group of certain number fields, strengthening 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 iff p divides the numerator of the n-th Bernoulli number Bₙ for some n, 0 < n < p − 1. The Herbrand–Ribet theorem specifies what, in particular, it means when p divides such an Bₙ.'

As you may have noticed, above you will find words for "A result on the class group of certain number fields, strengthening 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 iff p divides the numerator of the n-th Bernoulli number Bₙ for some n, 0 < n < p − 1. The Herbrand–Ribet theorem specifies what, in particular, it means when p divides such an Bₙ.". Hover the mouse over the word you'd like to know more about to view its definition. Click search related words by phrase or description. to find a better fitting word. Finally, thanks to ChatGPT, the overall results have been greatly improved.

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