The Hasse principle for pairs of diagonal cubic forms

Details The Hasse principle for pairs of diagonal cubic forms The Hasse principle for pairs of diagonal cubic forms

2007-10-25

arxiv.org/abs/0710.4778v1

Mathematics

Number Theory

Accepted to appear in Annals of Mathematics, 9th September 2005

Scientific paper

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.

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