JournalsjemsVol. 17, No. 11pp. 2887–2901

Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

  • Jörg Brüdern

    Universität Göttingen, Germany

  • Trevor D. Wooley

    University of Bristol, UK
Cubic moments of Fourier coefficients and pairs of diagonal quartic forms cover
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Abstract

We establish the non-singular Hasse principle for pairs of diagonal quartic equations in 22 or more variables. Our methods involve the estimation of a certain entangled two-dimensional 21st moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.

Cite this article

Jörg Brüdern, Trevor D. Wooley, Cubic moments of Fourier coefficients and pairs of diagonal quartic forms. J. Eur. Math. Soc. 17 (2015), no. 11, pp. 2887–2901

DOI 10.4171/JEMS/574