Progress on Olga Taussky-Todd's circulant problem

DOI10.1007/s11139-011-9354-6zbMath1271.15002OpenAlexW2002456918MaRDI QIDQ452264

Norbert Kaiblinger

Publication date: 20 September 2012

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

Full work available at URL: https://doi.org/10.1007/s11139-011-9354-6

zbMATH Keywords

resultantsdeterminantscyclotomyinteger circulant matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Polynomials in number theory (11C08) Matrices of integers (15B36) Cyclotomy (11T22)

Related Items (13)

Remark on Laquer's theorem for circulant determinants ⋮ Williamson type Hadamard matrices with circulant components ⋮ 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 ⋮ 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 ℤ_{𝕡}ⁿ ⋮ The Lind-Lehmer constant for cyclic groups of order less than 892,371,480 ⋮ Integer group determinants for small groups ⋮ The integer group determinants for the symmetric group of degree four

Cites Work

• Unnamed Item
• On a problem suggested by Olga Taussky-Todd
• On prime factors of determinants of circulant matrices
• A chain rule for the resultant of two polynomials
• Advanced determinant calculus
• Some properties of circulants
• Advanced determinant calculus: a complement
• Some studies on cyclic determinants
• Polynomial recurrences and cyclic resultants
• Unimodular integer circulants
• Determinants of abelian group matrices
• Determinants of circulants of prime power order
• Lehmer’s problem for compact Abelian groups
• Resultants and discriminants of Chebyshev and related polynomials
• On the Lehmer constant of finite cyclic groups
• The Factorization of the Cyclotomic Polynomials mod p

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