Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
arXiv:1507.07465 · doi:10.4171/JEMS/813
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.
22 pages