The Lind Lehmer constant for ℤ_{𝕡}ⁿ

DOI10.1090/S0002-9939-2014-11954-XzbMath1294.11185OpenAlexW1489308291MaRDI QIDQ5418510

Dilum De Silva, Christopher G. Pinner

Publication date: 4 June 2014

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-11954-x

zbMATH Keywords

Mahler measurefinite abelian groupLind-Lehmer constant

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (13)

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 ⋮ Integer group determinants for \(\mathrm{C}_2^4\) ⋮ Minimal group determinants and the Lind–Lehmer problem for dihedral groups ⋮ Minimal group determinants for dicyclic groups ⋮ Integer circulant determinants of order 15 ⋮ The Lind-Lehmer constant for cyclic groups of order less than 892,371,480 ⋮ Ratios of Small Integers in Multiplicative Subgroups of Residue Rings ⋮ 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

• Progress on Olga Taussky-Todd's circulant problem
• On a problem suggested by Olga Taussky-Todd
• Solutions of the congruence 𝑎^{𝑝-1}≡1 (mod 𝑝^{𝑟})
• Lehmer’s problem for compact Abelian groups
• On the Lehmer constant of finite cyclic groups
• Unnamed Item
• Unnamed Item

This page was built for publication: The Lind Lehmer constant for ℤ_{𝕡}ⁿ