Cyclic p-roots of prime lengths p and related complex Hadamard matrices

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dc.creatorHaagerup, Uffe
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:27:21Z
dc.date.available2026-07-07T09:27:21Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0803.2629
dc.identifierhttp://arxiv.org/abs/0803.2629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157072
dc.subjectCommutative Algebra
dc.subjectNumber Theory
dc.subjectOperator Algebras
dc.subject13P10; 11T99; 46L37
dc.titleCyclic p-roots of prime lengths p and related complex Hadamard matrices
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