Square root Bound on the Least Power Non-residue using a Sylvester-Vandermonde Determinant

Michael Forbes, Neeraj Kayal, Rajat Mittal +1

We give a new elementary proof of the fact that the value of the least $k^{th}$ power non-residue in an arithmetic progression $\{bn+c{\}}_{n=0,\mathrm{1...}}$, over a prime field $\F_p$, is…