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Class Number

Class number (common versions)

ClassNumber(n) = NumberFieldClassNumber[sqrt(n)] for n element Z
ClassNumber(n) = piecewise | (( sum_(k=1)^(n - 1) (n/k) log(sin((π k)/n))) (-1))/(2 NumberFieldRegulator[sqrt(n)]) | n>0
(( sum_(k=1)^(abs(n) - 1) (n/k) k) (-1) w(n))/(2 abs(n)) | n<0 for (n element Z and w(p) = piecewise | 6 | p = -3
4 | p = -4
2 | otherwise)

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