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Bounding the elliptic Mahler measure II

Everest, Graham and Pinner, Christopher (1996) Bounding the elliptic Mahler measure II. [Preprint]

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      Abstract

      The theory of heights for rational points on arithmetic elliptic curves is becoming well known. An important fact in the basic theory is the relationship between the na\" \i ve and the canonical height of a rational point; in fact they differ by a uniformly bounded amount. In this note, we provide a generalisation of this fact from the point of view of heights of polynomials, rather than heights of points. We extend this concept to polynomials in several variables.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Subjects: 11-xx Number theory > 11Gxx Arithmetic algebraic geometry (Diophantine geometry)
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/167

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