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Complete Congruences of Jacobi sums of order 2l^2 with prime l

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arxiv 1902.10512 v2 pith:OYBP64F7 submitted 2019-02-27 math.NT

classification math.NT
keywords congruencesjacobisumsorderprimealgebraicarithmeticauthors
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The congruences for Jacobi sums of some lower orders has been treated by many authors in the literature. In this paper we establish the congruences for Jacobi sums of order 2l^2 with odd prime l. These congruences are useful to obtain algebraic and arithmetic characterizations for Jacobi sums of order 2l^2 .

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