Integer circulant determinants of order 15

zbMath1494.11087arXiv2108.03198MaRDI QIDQ5088680

Bishnu Paudel, Christopher G. Pinner

Publication date: 13 July 2022

Full work available at URL: https://arxiv.org/abs/2108.03198

zbMATH Keywords

cyclotomyLehmer problemgroup determinantLind-Mahler measureinteger circulant determinant

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices of integers (15B36) Cyclotomy (11T22) Matrices, determinants in number theory (11C20)

Related Items (4)

Prime power order circulant determinants ⋮ Integer circulant determinants of order 16 ⋮ Integer group determinants for \(\mathrm{C}_2^4\) ⋮ Integer group determinants for three of the non-abelian groups of order 16

Cites Work

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• Progress on Olga Taussky-Todd's circulant problem
• On a problem suggested by Olga Taussky-Todd
• The Lind-Lehmer constant for cyclic groups of order less than 892,371,480
• The origin of representation theory
• Factorization of certain cyclotomic functions
• Integer group determinants for small groups
• The integer group determinants for the symmetric group of degree four
• The Lind-Lehmer constant for \(\mathbb{Z}_2^r\times\mathbb{Z}_4^s\)
• The unramified Brauer group of norm one tori
• Determinants of circulants of prime power order
• The Group Determinant Determines the Group
• Solving norm equations in relative number fields using $S$-units
• The Lind-Lehmer constant for certain $p$-groups
• Minimal group determinants and the Lind–Lehmer problem for dihedral groups
• Lehmer’s problem for compact Abelian groups
• Mahler measure under variations of the base group
• On the Lehmer constant of finite cyclic groups
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ
• Resultants of Cyclotomic Polynomials

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