paper

On Waring's problem in sums of three cubes

arXiv:2010.14536

Abstract

We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of -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.

21 pages, minor linguistic modifications, to appear in Mathematika

On Waring's problem in sums of three cubes · wovepaper