Uniform bounds in Waring's problem over some diagonal forms

Javier Pliego

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arXiv · 2010.14567

Uniform bounds in Waring's problem over some diagonal forms

Javier Pliego

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Abstract

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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Javier Pliego. 2020-10-27. Uniform bounds in Waring's problem over some diagonal forms. https://arxiv.org/abs/2010.14567

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