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Cyclotomic matrices over the Eisenstein and Gaussian integers
- Publication Year :
- 2011
-
Abstract
- We classify all cyclotomic matrices over the Eisenstein and Gaussian integers, that is, all Hermitian matrices over the Eisenstein and Gaussian integers that have all their eigenvalues in the interval [-2, 2].<br />24 pages
- Subjects :
- Gaussian integers
Discrete mathematics
Algebra and Number Theory
Mathematics - Number Theory
Gaussian integer
Mathematics::Number Theory
Complex multiplication
Mathematics::Spectral Theory
Hermitian matrix
Combinatorics
symbols.namesake
Quadratic integer
05C22, 05C50, 11C20, 15B33
Cyclotomic matrices
Eisenstein integer
symbols
FOS: Mathematics
Interval (graph theory)
Cubic reciprocity
Number Theory (math.NT)
Eisenstein integers
Eigenvalues and eigenvectors
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9c7757c5178efe6c04620bd08e3f9b08