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http://dx.doi.org/10.4134/JKMS.j190211

THE JACOBI SUMS OVER GALOIS RINGS AND ITS ABSOLUTE VALUES  

Jang, Young Ho (Department of Mathematics Inha University)
Publication Information
Journal of the Korean Mathematical Society / v.57, no.3, 2020 , pp. 571-583 More about this Journal
Abstract
The Galois ring R of characteristic pn having pmn elements is a finite extension of the ring of integers modulo pn, where p is a prime number and n, m are positive integers. In this paper, we develop the concepts of Jacobi sums over R and under the assumption that the generating additive character of R is trivial on maximal ideal of R, we obtain the basic relationship between Gauss sums and Jacobi sums, which allows us to determine the absolute value of the Jacobi sums.
Keywords
Galois rings; characters; Gauss sums; Jacobi sums;
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Times Cited By KSCI : 2  (Citation Analysis)
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