论文标题
POHST的不平等的改进
A Refinement of Pohst's Inequality
论文作者
论文摘要
我们概括了Pohst在1977年猜想的不平等，最近由作者证明，由Battistoni和Molteni独立。这种新的不平等通过考虑基本单位的缀合物的迹象来改善监管机构的界限。我们对问题进行了新的解释，并利用POHST使用的组合方法。
We generalize an inequality conjectured by Pohst in 1977 and recently proved by the author and independently by Battistoni and Molteni. This new inequality improves a bound for the regulator in terms of the discriminant for totally real number fields by taking into account the signs of conjugates of the fundamental unit. We give a new interpretation to the problem and exploit the combinatorial method used by Pohst.
