Izvorni znanstveni članak

Under a mild condition, Ryser's Conjecture holds for every $n:=4h^2$ with h>1 odd and non square-free

Luis H. Gallardo ; Univ Brest, UMR CNRS 6 205, Laboratoire de Math´ematiques de Bretagne Atlantique, Brest, France

Sažetak

We prove, under a mild condition, that there is no circulant Hadamard matrix $H$ with $n>4$ rows when
$\sqrt{n/4}$ is not square-free. The proof introduces a new method to attack
Ryser's Conjecture, that is a long standing difficult conjecture.

Ključne riječi

Circulant matrices; Hadamard matrices; Sums of roots of unity; Complex unit circle; Cyclotomic fields

Hrčak ID:

252594

URI

https://hrcak.srce.hr/252594

Datum izdavanja:

10.3.2021.

Posjeta: 867 *