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

Joerg Bruedern, Trevor D Wooley

Research output: Contribution to journalArticle (Academic Journal)peer-review

250 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)2333-2356
Number of pages24
JournalJournal of the European Mathematical Society
Volume20
Issue number10
Early online date3 Sep 2018
DOIs
Publication statusPublished - 1 Oct 2018

Keywords

  • Quartic Diophantine equations
  • Hardy–Littlewood method

Fingerprint Dive into the research topics of 'Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations: three additive equations'. Together they form a unique fingerprint.

Cite this