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A136268
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Cyclic p-roots of prime lengths p(n).
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0
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2, 6, 70, 924, 184756, 2704156, 601080390, 9075135300, 2104098963720, 7648690600760440, 118264581564861424, 442512540276836779204, 107507208733336176461620, 1678910486211891090247320, 410795449442059149332177040
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OFFSET
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1,1
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COMMENTS
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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 than or equal to (2p-2)!/(p-1)!^2.
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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