2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157072In this paper it is proved, that for every prime number p, the set of cyclic p-roots in C^p is finite. Moreover the number of cyclic p-roots counted with multiplicity is equal to (2p-2)!/(p-1)!^2. In particular, the number of complex circulant Hadamard matrices of size p, with diagonal entries equal to 1, is less or equal to (2p-2)!/(p-1)!^2.Commutative AlgebraNumber TheoryOperator Algebras13P10; 11T99; 46L37text