Cubic Moments of Fourier Coefficients and Pairs of Diagonal Quartic Forms

نویسنده

  • TREVOR D. WOOLEY
چکیده

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 21 moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.

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تاریخ انتشار 2015