Reduced ideals from the reduction algorithm

Ha Thanh Nguyen Tran

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arXiv · 1711.07573

Reduced ideals from the reduction algorithm

Ha Thanh Nguyen Tran

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Abstract

The reduction algorithm is used to compute reduced ideals of a number field. However, there are reduced ideals that can never be obtained from this algorithm. In this paper, we will show that these ideals have inverses of larger norms among reduced ones. Especially, we represent a sufficient and necessary condition for reduced ideals of real quadratic fields to be obtained from the reduction algorithm.

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Ha Thanh Nguyen Tran. 2017-11-20. Reduced ideals from the reduction algorithm. https://arxiv.org/abs/1711.07573

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