Mahler measure

noun

For a given polynomial p(z): a kind of height function defined as M(p)=|a|∏_(|αᵢ|>1)|αᵢ|=|a|∏ᵢ₌₁ⁿ max 1,|αᵢ|, where p(z) factorizes over the complex numbers ℂ as

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Meanings

nounMahler measure (plural Mahler measures)

plural Mahler measures

  1. mathematicsFor a given polynomial p(z): a kind of height function defined as M(p)=|a|∏_(|αᵢ|>1)|αᵢ|=|a|∏ᵢ₌₁ⁿ max 1,|αᵢ|, where p(z) factorizes over the complex numbers ℂ as

Origin

Named after the German-born Australian mathematician Kurt Mahler.

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Cite this entry
APA

Mahler measure. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Mahler%20measure

MLA

“Mahler measure.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Mahler%20measure. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Mahler measure,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Mahler%20measure.

Source: Mahler measure on Wiktionary, CC BY-SA 4.0.