Abstract
The history of Gauss sums as eigenvalues of Frobenius on Fermat or Artin-Schreier curves goes back to Davenport-Hasse [Da-H] and Hasse [Ha 3]. However, Ron Evans has pointed out to me that Howard Mitchell [Mi] in 1916 considered Jacobi sums in connection with the number of points of the Fermat curve in arbitrary finite fields, and proved the first Davenport Hasse relation between Jacobi sums in a finite field and in a finite extension.
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