论文标题

每个属的一个级别的负判别物的最大质量因素的界限

Bounds on the largest prime factor of a negative discriminant with one class per genus

论文作者

Armitage, John

论文摘要

高斯猜想的是,任何具有至少32属的负面判别物在每个属中至少具有两类的二元二次形式。我们证明,通过类似于贝克解决高斯第一类问题的论点,这种判别剂不能具有特别大的主要因素。

It was conjectured by Gauss that any negative discriminant with at least 32 genera has at least two classes of binary quadratic forms in each genus. We prove that such a discriminant cannot have a particularly large prime factor, by an argument similar to that of Baker's solution to Gauss' class number one problem.

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