Number Theory and Polynomials: The Mahler measure of algebraic numbers: a survey

Number Theory and Polynomials: The Mahler measure of algebraic numbers: a survey
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DOI:
10.1017/cbo9780511721274.021
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发表时间:
2007-01
期刊:
arXiv: Number Theory
影响因子:
--
通讯作者:
C. Smyth
C. Smyth
中科院分区:
其他
文献类型:
--
作者:
C. Smyth

文献摘要

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综述了代数数的Mahler测度和整系数一元多项式的一些结果。本文还讨论了代数整数的共轭(“房子”)的最大模的有关结果。一些推广也给出了,虽然不是马勒措施多项式在一个以上的变量。
A survey of results for Mahler measure of algebraic numbers, and one-variable polynomials with integer coefficients is presented. Related results on the maximum modulus of the conjugates (`house') of an algebraic integer are also discussed. Some generalisations are given too, though not to Mahler measure of polynomials in more than one variable.