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BOUNDING THE ELLIPTIC MAHLER MEASURE II

Published online by Cambridge University Press:  01 August 1998

GRAHAM EVEREST  and
CHRIS PINNER
GRAHAM EVEREST
Affiliation:
School of Mathematics, University of East Anglia, Norwich, Norfolk NR4 7TJ. E-mail: g.everest@uea.ac.uk
CHRIS PINNER
Affiliation:
Department of Mathematics and Computer Science, University of Northern British Columbia, 3333 University Way, Prince George, BC V2N 4Z9, Canada. E-mail: pinnerc@unbc.ca
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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 naïve and the canonical height of a rational point; in fact, they differ by a uniformly bounded amount. The paper provides a generalisation of this fact from the point of view of heights of polynomials, rather than heights of points. This concept is extended to polynomials in several variables.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 1 - 8
Copyright
The London Mathematical Society 1998

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