Browsing OSU - Electronic Theses and Dissertations by Subject "mahler measure"

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    • Mahler measure and its behavior under iteration 

      Zhang, Mingming (2021-05)
      For an algebraic number $\alpha$ we denote by $M(\alpha)$ the Mahler measure of $\alpha$. Mahler measure is a height function on polynomials with integer coefficients. Moreover, as $M(\alpha)$ is again an algebraic number ...

    • Polynomials with small elliptic Mahler measure via genetic algorithms 

      Clark, John Michael (2020-05)
      For a minimal polynomial $f$ we denote by $M(f)$ the Mahler measure of the roots of $f$. The classical Lehmer conjecture is concerned with finding a definitive lower bound for $M(f)$. Lehmer's polynomial is known to have ...