论文标题
六维球包装和线性编程
Six-dimensional sphere packing and linear programming
论文作者
论文摘要
我们证明，在尺寸6中，与球体填料结合的线性编程并不清晰。证明在模块化形式的空间上使用二元性和优化，从而将Cohn-Triantafillou的构造推广到奇怪的重量和非平凡特征的情况下。
We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, generalizing a construction of Cohn-Triantafillou to the case of odd weight and non-trivial character.
