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Euler's Criterion of prime order in PID case
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math.NT
keywords
ordercriterionprimecaseconditionscyclotomicestablisheuler
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In this paper we establish the Eulers criterion of order l (a prime) when the ring of integers in the cyclotomic extension of Q of order l is a PID. Conditions are obtained in terms of Jacobi sums of order l.
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