The Lind-Lehmer constant for cyclic groups of order less than 892,371,480

DOI10.1007/s11139-012-9443-1zbMath1314.11064OpenAlexW2089749414MaRDI QIDQ744833

Vincent Pigno, Christopher G. Pinner

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9443-1

zbMATH Keywords

Mahler measurefinite abelian groupsLind's Lehmer problem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Heights (11G50) Special sequences and polynomials (11B83) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Cyclotomy (11T22)

Related Items (11)

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 ⋮ 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
• Lehmer’s problem for compact Abelian groups
• On the Lehmer constant of finite cyclic groups
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ

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