Lehmer’s problem for compact Abelian groups

DOI10.1090/S0002-9939-04-07753-6zbMath1056.43005arXivmath/0303279MaRDI QIDQ4654057

Douglas Lind

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303279

zbMATH Keywords

dualcompact abelian groupsLehmer's constant

Mathematics Subject Classification ID

Heights (11G50) Compact groups (22C05) Topological entropy (37B40) Character groups and dual objects (43A40)

Related Items (15)

Lehmer’s problem for arbitrary groups ⋮ The Lind-Lehmer constant for certain $p$-groups ⋮ The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\) ⋮ Prime power order circulant determinants ⋮ Minimal group determinants and the Lind–Lehmer problem for dihedral groups ⋮ Progress on Olga Taussky-Todd's circulant problem ⋮ Minimal group determinants for dicyclic groups ⋮ Integer circulant determinants of order 15 ⋮ The Lind Lehmer constant for ℤ_{𝕡}ⁿ ⋮ The Lind-Lehmer constant for cyclic groups of order less than 892,371,480 ⋮ Fuglede–Kadison determinants and entropy for actions of discrete amenable groups ⋮ Integer group determinants for small groups ⋮ Unnamed Item ⋮ The integer group determinants for the symmetric group of degree four ⋮ A recursive formula for group determinant coefficients

Cites Work

• A problem of Boyd concerning geometric means of polynomials
• Heights of polynomials and entropy in algebraic dynamics
• Factorization of certain cyclotomic functions
• Speculations Concerning the Range of Mahler's Measure
• Reciprocal polynomials having small measure. II
• Resultants of Cyclotomic Polynomials

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