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Bounding the elliptic Mahler measure

Published online by Cambridge University Press:  01 November 1998

CHRISTOPHER PINNER
CHRISTOPHER PINNER
Affiliation:
Centre for Experimental and Constructive Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada and Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada; e-mail: pinner@cecm.sfu.ca
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 124 , Issue 3 , November 1998 , pp. 521 - 529
Copyright
© Cambridge Philosophical Society 1998

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