论文标题

Waring问题的统一范围在某些对角线形式上

Uniform bounds in Waring's problem over some diagonal forms

论文作者

Pliego, Javier

论文摘要

我们调查了每个大型整数的表示形式的存在,作为代表某些对角线形式的整数的$ k $ the。特别是,我们考虑了一个对角线形式的家族,并讨论了给家庭统一上限的问题,以了解具有这种表示所需的变量数量。

We investigate the existence of representations of every large positive integer as a sum of $k$-th powers of integers represented as certain diagonal forms. In particular, we consider a family of diagonal forms and discuss the problem of giving a uniform upper bound over the family for the number of variables needed to have such representations.

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