Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
Jörg BrüdernGeorg-August-Universität Göttingen, Germany
Trevor D. WooleyUniversity of Bristol, UK
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 this article
Jörg Brüdern, Trevor D. Wooley, Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations. J. Eur. Math. Soc. 20 (2018), no. 10, pp. 2333–2356DOI 10.4171/JEMS/813