Unimodular integer circulants

DOI10.1090/S0025-5718-08-02089-9zbMath1217.11028MaRDI QIDQ3577016

John E. Cremona

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

circulantsunimodular matrices

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (9)

Cyclically presented groups as labelled oriented graph groups ⋮ Testing degenerate polynomials ⋮ Progress on Olga Taussky-Todd's circulant problem ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds ⋮ Generalized Fibonacci groups \(H(r,n,s)\) that are connected labelled oriented graph groups ⋮ UNIMODULAR INTEGER CIRCULANTS ASSOCIATED WITH TRINOMIALS ⋮ CYCLICALLY PRESENTED GROUPS AND RESULTANTS ⋮ On Irreducible Cyclic Presentations of the Trivial Group

Uses Software

• Magma
• Maple
• PARI/GP

Cites Work

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• Small Salem numbers
• The Magma algebra system. I: The user language
• Factorization of certain cyclotomic functions
• Automorphisms of even unimodular lattices and unramified Salem numbers
• The Mahler measure of algebraic numbers: a survey
• Some diophantine problems arising from the theory of cyclically-presented groups
• On irreducible cyclic presentations
• Cyclic Presentations of the Trivial Group
• ON A CLASS OF CYCLICALLY PRESENTED GROUPS

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