On Waring's problem: two squares and three biquadrates
Number Theory
2022-01-11 v2
Abstract
We investigate sums of mixed powers involving two squares and three biquadrates. In particular, subject to the truth of the Generalised Riemann Hypothesis and the Elliott-Halberstam Conjecture, we show that all large natural numbers n with 8 not dividing n, n not congruent to 2 modulo 3, and n not congruent to 14 modulo 16, are the sum of 2 squares and 3 biquadrates.
Cite
@article{arxiv.1211.1823,
title = {On Waring's problem: two squares and three biquadrates},
author = {John B. Friedlander and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1211.1823},
year = {2022}
}
Comments
to appear in Mathematika