On Waring's problem in sums of three cubes

2020/10/27 by Pliego, Javier
#11P05 #11P55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.14536

Abstract

We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of k-th powers of integers represented as the sums of three positive cubes, counted with multiplicities. We also obtain a lower bound for the number of representations when the sums of three cubes are counted without multiplicities.

Related

• On Waring's problem in sums of three cubes for smaller powers
• On Waring's Problem: Two Cubes and Two Minicubes
• Uniform bounds in Waring's problem over some diagonal forms
• On the numbers that are sums of three cubes
• An Asymptotic Formula in Waring's Problem for Seventeen Fourth Powers with Almost Equal Summands