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On algebraic numbers close to 1

Published online by Cambridge University Press:  17 April 2009

Artūras Dubickas
Artūras Dubickas
Affiliation:
Faculty of Mathematics, Vilnius University, Naugarduko 24, Vilnius 2006, Lithuania e-mail: arturas.dubickas@maf.vu.lt
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Abstract

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We prove that there exists a polynomial of small height with a root close to 1. This implies that there are algebraic numbers close to 1 with relatively small Mahler measure. We also give an explicit construction of such numbers with small Weil height.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 423 - 434
Copyright
Copyright © Australian Mathematical Society 1998

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