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Minkowski bound for ideal classes

If a number field of degree

n

and signature

(r_{1}, r_{2})

has discriminant

d_{K}

, every ideal class contains an integral ideal

I

with

N (I) \leq (\frac{4}{π})^{r_{2}} \frac{n !}{n ^{n}} ∣ d_{K} ∣ .

Table of contents 109 2
- Class group of Q of cube root of three Minkowski bound for ideal classes 39
- Ideal class group of Q of square root of minus thirty-three Minkowski bound for ideal classes 44

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