 Analytic class number formula

ID: analytic-class-number-formula

(r_{1}, r_{2})

, roots-of-unity count

w_{K}

, regulator

R_{K}

, class number

h_{K}

d_{K}

Res_{s = 1} ζ_{K} (s) = \frac{2 ^{r_{1}} ( 2 π ) ^{r_{2}} h _{K} R _{K}}{w _{K} ∣ d _{K} ∣} .

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