Explicit Wasserstein-distance rates are proved for equidistribution of ultra-short exponential sums and of Deligne-Katz trace-function families over finite fields.
Sato–Tate theorems for finite-field Mellin transforms , Annals of Mathematics Studies, vol
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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields
Explicit Wasserstein-distance rates are proved for equidistribution of ultra-short exponential sums and of Deligne-Katz trace-function families over finite fields.