 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-166/2/f/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

p, q

with

q > 0

H (p / q) = max {∣ p ∣, q} .

This follows either directly from the real and p-adic absolute values, or from the height-Mahler measure formula applied to the primitive minimal polynomial

qX - p

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