Operator analogues of Mahler's measure

zbMath1305.47009arXiv1312.4247MaRDI QIDQ405401

Kunyu Guo, Jiayang Yu

Publication date: 5 September 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4247

zbMATH Keywords

Hardy spaceMahler measureHardy shiftLehrmer's problem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Dilations, extensions, compressions of linear operators (47A20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Finite-dimensional Mahler measure of a polynomial and Szegö's theorem
• Factorization of certain cyclotomic functions
• Ergodic automorphisms of the infinite torus are Bernoulli
• The Mahler measure of algebraic numbers: a survey
• An application of Jensen's formula to polynomials

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