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math.NT2019
A reduction formula for Waring numbers through generalized Paley graphs
Ricardo A. Podestá, Denis E. Videla
We give a reduction formula for the Waring number over a finite field . By exploiting the relation between with the diameter of the generalized Pale…
math.NT2019
The Waring's problem over finite fields through generalized Paley graphs
Ricardo A. Podestá, Denis E. Videla
We show that the Waring's number over a finite field , denoted , when exists, coincides with the diameter of the generalized Paley graph $Γ(k,q)=Cay(\mathbb{F…