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Mathematics  2014 

The coefficients of the period polynomials

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Abstract:

A general description of the Vi\`ete coefficients of the gaussian period polynomials is given, in terms of certain symmetric representations of the subgroups and the corresponding quotient groups of the multiplicative group \mathbf{F}_{p}^{*} of a finite prime field of characteristics p, an odd prime number. The known values of these coefficients are recovered by this technique and further results of general nature are presented.

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