On Waring's problem: two squares, two cubes and two sixth powers
Number Theory
2022-01-11 v2
Abstract
We investigate the number of representations of a large positive integer as the sum of two squares, two positive integral cubes, and two sixth powers, showing that the anticipated asymptotic formula fails for at most O((log X)^3) positive integers not exceeding X.
Keywords
Cite
@article{arxiv.1212.6150,
title = {On Waring's problem: two squares, two cubes and two sixth powers},
author = {Trevor D. Wooley},
journal= {arXiv preprint arXiv:1212.6150},
year = {2022}
}
Comments
Corrected quotient of gamma functions in singular integral