Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Brüdern, Jörg, and Wooley, Trevor D.. "Cubic moments of Fourier coefficients and pairs of diagonal quartic forms." Journal of the European Mathematical Society 017.11 (2015): 2887-2901. <http://eudml.org/doc/277208>.

@article{Brüdern2015,
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.},
author = {Brüdern, Jörg, Wooley, Trevor D.},
journal = {Journal of the European Mathematical Society},
keywords = {quartic Diophantine equations; Hardy–Littlewood method; quartic Diophantine equations; Hardy-Littlewood method},
language = {eng},
number = {11},
pages = {2887-2901},
publisher = {European Mathematical Society Publishing House},
title = {Cubic moments of Fourier coefficients and pairs of diagonal quartic forms},
url = {http://eudml.org/doc/277208},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Brüdern, Jörg
AU - Wooley, Trevor D.
TI - Cubic moments of Fourier coefficients and pairs of diagonal quartic forms
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 11
SP - 2887
EP - 2901
AB - 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.
LA - eng
KW - quartic Diophantine equations; Hardy–Littlewood method; quartic Diophantine equations; Hardy-Littlewood method
UR - http://eudml.org/doc/277208
ER -