The coefficients of the period polynomials
  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. 
Serban Barcanescu
math.CO