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Universal Design Description of Cubic Cyclic Fields and an Algorithm for Computing of Minimal Polynomials of Generating Elements

2017
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Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
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unpublished

This paper presents an effective description of the universal design cubic cyclic fields and using an algorithm to compute the minimum polynomials generating elements. The calculations are carried out with the use of the properties of Gauss sums corresponding primitive Dirichlet character. Built fundamental and integral basis normal cubic cyclic fields. Necessary and sufficient criterion of element reversibility of totally solid cyclic fields is given here. The different examples of

doi:10.2991/msam-17.2017.29
fatcat:wfj2kkanpbhe5j66ntiuujffcu