On a problem suggested by Olga Taussky-Todd
Newman, Morris
Illinois J. Math., Tome 24 (1980) no. 4, p. 156-158 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The problem considered is to characterize those integers $m$ such that $m = \mathrm{det}(C)$, $C$ an integral $n \times n$ circulant. It is shown that if $(m,n) = 1$ then such circulants always exist, and if $(m,n)> 1$ and $p$ is a prime dividing $(m,n)$ such that $p^{t}||n$, then $p^{t+1}|m$. This implies for example, that $n$ never occurs as the determinant of an integral $n \times n$ circulant, if $n > 1$.
Publié le : 1980-03-15
Classification:  15A36,  15A15,  15A57 
@article{1256047802,
     author = {Newman, Morris},
     title = {On a problem suggested by Olga Taussky-Todd},
     journal = {Illinois J. Math.},
     volume = {24},
     number = {4},
     year = {1980},
     pages = { 156-158},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256047802}
}

Newman, Morris. On a problem suggested by Olga Taussky-Todd. Illinois J. Math., Tome 24 (1980) no. 4, pp.  156-158. http://gdmltest.u-ga.fr/item/1256047802/