The Hasse principle for pairs of diagonal cubic forms

Abstract

By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.

Authors

Jörg Brüdern

Fachbereich Mathematik
Universität Stuttgart
D-70569 Stuttgart
Germany

Trevor D. Wooley

Department of Mathematics
University of Bristol
Bristol, BS8 1TW
United Kingdom