论文信息 - Lenstra's Constant and Extreme Forms in Number Fields

Lenstra's Constant and Extreme Forms in Number Fields

In this paper we compute γK,2 for K = ℚ(ρ), where ρ is the real root of the polynomial x 3 - x 2 + 1 = 0. We refine some techniques introduced in [Baeza et al. 01] to construct all possible sets of minimal vectors for perfect forms. These refinements include a relation between minimal vectors and the Lenstra constant. This construction gives rise to results that can be applied in several other cases.

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