Mahler measure

The Mahler measure is a concept from number theory and algebraic geometry that provides a way to measure the "size" or "complexity" of a polynomial or a rational function.

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Mahler measure by

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

If

f (X) = a_{d} \prod_{j = 1}^{d} (X - α_{j})

, its Mahler measure is

M (f) = ∣ a_{d} ∣ \prod_{j = 1}^{d} max {1, ∣ α_{j} ∣} .

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