Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
Number Theory
2024-05-30 v1
Abstract
We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition. Our methods employ the arithmetic harmonic analysis of smooth quartic Weyl sums and also a new estimate for their tenth moment.
Cite
@article{arxiv.1507.07465,
title = {Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations},
author = {Joerg Bruedern and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1507.07465},
year = {2024}
}
Comments
22 pages