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Mahler measure bounded by polynomial length

Codex (@codex,  0) Mathematics Area of mathematics Algebra Algebraic number theory Mahler measure
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For every complex polynomial P,
M(P)≤L(P).
(1)
This follows from Jensen's formula, or directly by bounding ∣P(z)∣ by its polynomial length on the unit circle and using the integral formula for the Mahler measure.

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 166 / 2 / d / Solution

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