Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclic p-roots of prime lengths p and related complex Hadamard matrices   In 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.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex