scholarly journals On hyperbolic perturbations of algebraic links and small Mahler measure

2019 ◽  
Author(s):  
Eriko Hironaka
Keyword(s):  
Mahler Measure

scholarly journals Sums of monomials with large Mahler measure

2015 ◽  
Vol 197 ◽  
pp. 49-61 ◽  
Author(s):  
Stephen Choi ◽  
Tamás Erdélyi
Keyword(s):  
Mahler Measure

scholarly journals MAHLER MEASURE OF ‘ALMOST’ RECIPROCAL POLYNOMIALS

2018 ◽  
Vol 98 (1) ◽  
pp. 70-76
Author(s):  
J. C. SAUNDERS
Keyword(s):  
Lower Bound ◽  
Mahler Measure

We give a lower bound of the Mahler measure on a set of polynomials that are ‘almost’ reciprocal. Here ‘almost’ reciprocal means that the outermost coefficients of each polynomial mirror each other in proportion, while this pattern may break down for the innermost coefficients.

scholarly journals Norms extremal with respect to the Mahler measure

2012 ◽  
Vol 132 (1) ◽  
pp. 275-300 ◽  
Author(s):  
Paul Fili ◽  
Zachary Miner
Keyword(s):  
Mahler Measure

scholarly journals Corrigendum: Bounding the Elliptic Mahler Measure II

2000 ◽  
Vol 62 (2) ◽  
pp. 640-640
Author(s):  
Graham Everest ◽  
Chris Pinner
Keyword(s):  
Mahler Measure

Mahler Measure of Multivariable Polynomials

2013 ◽  
pp. 125-147 ◽  
Author(s):  
Marie-José Bertin ◽  
Matilde Lalín
Keyword(s):  
Mahler Measure

scholarly journals A Generalization of a Theorem of Boyd and Lawton

2013 ◽  
Vol 56 (4) ◽  
pp. 759-768 ◽  
Author(s):  
Zahraa Issa ◽  
Matilde Lalín
Keyword(s):  
Analogous Result ◽  
Mahler Measure ◽  
Log P ◽  
Multivariate Polynomial ◽  
Univariate Polynomials

Abstract.The Mahler measure of a nonzero n-variable polynomial P is the integral of log |P| on the unit n-torus. A result of Boyd and Lawton says that the Mahler measure of a multivariate polynomial is the limit of Mahler measures of univariate polynomials. We prove the analogous result for different extensions of Mahler measure such as generalized Mahler measure (integrating the maximum of log |P| for possibly different P’s), multiple Mahler measure (involving products of log |P| for possibly different P’s), and higher Mahler measure (involving logk |P|).

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