The Hasse principle for pairs of diagonal cubic forms
Annals of mathematics, Tome 166 (2007) no. 3, pp. 865-895.

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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.
DOI : 10.4007/annals.2007.166.865

Jörg Brüdern 1 ; Trevor D. Wooley 2

1 Fachbereich Mathematik, Universität Stuttgart, D-70569 Stuttgart, Germany
2 Department of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom
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Jörg Brüdern; Trevor D. Wooley. The Hasse principle for pairs of diagonal cubic forms. Annals of mathematics, Tome 166 (2007) no. 3, pp. 865-895. doi : 10.4007/annals.2007.166.865. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.865/

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