Mahler Measure - Properties

Properties

  • The Mahler measure is multiplicative, i.e. M(pq) = M(p)M(q).
  • (Kronecker's Theorem) If p is an irreducible monic integer polynomial with, then either p(z)=z, or p is a cyclotomic polynomial.
  • Lehmer's conjecture asserts that there is a constant such that if p is an irreducible integer polynomial, then either or .

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