This survey reviews results on diophantine systems for cyclotomic numbers and Jacobi sum coefficients and summarizes the current status of the problem.
Lehmer, On the number of solutions of uk + D ≡ (mod p), Pacific J
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Jacobi sums and cyclotomic numbers: A survey report
This survey reviews results on diophantine systems for cyclotomic numbers and Jacobi sum coefficients and summarizes the current status of the problem.