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Bounding the Elliptic Mahler Measure

Pinner, Christopher (1995) Bounding the Elliptic Mahler Measure. [Preprint]

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      Abstract

      We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional Mahler measure (via the length of the polynomial). These bounds are essentially sharp. We also give the corresponding result for polynomials in several variables.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Mahler measure, elliptic Mahler measure
      Subjects: 11-xx Number theory > 11Gxx Arithmetic algebraic geometry (Diophantine geometry)
      30-xx Functions of a complex variable > 30Cxx Geometric function theory
      12-xx Field theory and polynomials > 12Dxx Real and complex fields
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 28 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/166

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