%0 Journal Article
%T Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
%A Joerg Bruedern
%A Trevor D. Wooley
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1507.07465v1