English Explanatory Dictionary

Mahler measure

English dictionary entry

Meanings

noun
  1. 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

Word forms

Mahler measure Mahler measures

Etymology

Named after the German-born Australian mathematician Kurt Mahler.

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