 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-2/20g/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

L

has degree

n = r_{1} + 2 r_{2}

d_{L}

, then every class in the ideal class group contains a nonzero integral ideal

a

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

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