论文标题
添加剂组合学中的统一猜想
The Uniformity Conjecture in Additive Combinatorics
论文作者
论文摘要
在本文中,我们展示了Bombieri-lang猜想中添加剂组合的应用的示例,从而赋予了正方形和较高幂的整数概述的基础。使用类似的方法,我们为匹配的总和问题提供了界限。
In this paper we show examples for applications of the Bombieri-Lang conjecture in additive combinatorics, giving bounds on the cardinality of sumsets of squares and higher powers of integers. Using similar methods we give bounds on the sum-product problem for matchings.