Measuring the height of a polynomial

DOI10.1007/BF03024797zbMath0909.11048MaRDI QIDQ1267780

Graham Everest

Publication date: 25 March 1999

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

entropyheightelliptic curves\(L\)-functionspolynomialLehmer's problemelliptic Mahler measure

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Polynomials (irreducibility, etc.) (11R09)

Related Items (2)

Le problème des grandes puissances et celui des grandes racines ⋮ \(L^ 2\)-torsion invariants and homology growth of a torus bundle over \(S^ 1\).

Cites Work

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• Sur des hauteurs alternatives. I. (On alternative heights. I)
• Kronecker's theorem and Lehmer's problem for polynomials in several variables
• Mahler measure and entropy for commuting automorphisms of compact groups
• Factorization of certain cyclotomic functions
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Counting points of small height on elliptic curves
• An application of Jensen's formula to polynomials
• On Some Inequalities for Polynomials in Several Variables
• Automorphisms of solenoids and p-adic entropy
• On the Elliptic Analogue of Jensen's Formula
• Speculations Concerning the Range of Mahler's Measure
• A Kronecker-Type Theorem for Complex Polynomials in Several Variables
• Bounding the elliptic Mahler measure
• Corrigendum: Bounding the Elliptic Mahler Measure II
• The elliptic Mahler measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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