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The distribution of $k{\rm th}$ power residues and non-residues in the Gaussian integers

The distribution of $k{\rm th}$ power residues and non-residues in the Gaussian integers

Notation and Introduction.In this paper the Greek letters a, β y μ, σ, and ω will always be Gaussian integers, the Greek letters T and X will be complex numbers, the Greek letters γ and 7/ will always denote Gaussian primes.Also in this paper the Latin letters c, d, j> …