The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\)

DOI10.2140/moscow.2019.8.151zbMath1456.11204arXiv1805.05450OpenAlexW4288349743MaRDI QIDQ2420495

Michael J. Mossinghoff, Vincent Pigno, Christopher G. Pinner

Publication date: 6 June 2019

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05450

zbMATH Keywords

Mahler measuregroup determinantLind-Lehmer constantLind-Mahler measure

Mathematics Subject Classification ID

Heights (11G50) Special sequences and polynomials (11B83) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Cyclotomy (11T22) Character groups and dual objects (43A40)

Related Items

Minimal group determinants and the Lind–Lehmer problem for dihedral groups ⋮ Minimal group determinants for dicyclic groups ⋮ Integer circulant determinants of order 15 ⋮ Integer group determinants for small groups

Cites Work

• The Lind-Lehmer constant for cyclic groups of order less than 892,371,480
• The origin of representation theory
• Factorization of certain cyclotomic functions
• Lehmer’s problem for compact Abelian groups
• On the Lehmer constant of finite cyclic groups
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ
• Resultants of Cyclotomic Polynomials

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