Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations

  • Jörg Brüdern

    Georg-August-Universität Göttingen, Germany
  • Trevor D. Wooley

    University of Bristol, UK

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 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. 2333–2356

DOI 10.4171/JEMS/813