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In mathematics, a Jacobi sum is a type of character sum formed with Dirichlet characters. Jacobi sums are the analogues for finite fields of the beta function. Such sums were introduced by C. G. J. Jacobi early in the nineteenth century in connection with the theory of cyclotomy. Jacobi sums $J$ can be factored generically into products of powers of Gauss sums $g$.
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