Geodesic
The Hasse principle for pairs of diagonal cubic forms
Jörg Brüdern1 ; Trevor D. Wooley2
1Fachbereich Mathematik, Universität Stuttgart, D-70569 Stuttgart, Germany
2Department of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom
Annals of mathematics, Tome 166 (2007) no. 3, pp. 865-895
Cet article a éte moissonné depuis la source Annals of Mathematics website

Voir la notice de l'article

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 
@article{10_4007_annals_2007_166_865,
     author = {J\"org Br\"udern and Trevor D. Wooley},
     title = {The {Hasse} principle for pairs of diagonal cubic forms},
     journal = {Annals of mathematics},
     pages = {865--895},
     year = {2007},
     volume = {166},
     number = {3},
     doi = {10.4007/annals.2007.166.865},
     mrnumber = {2373375},
     zbl = {1171.11053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.865/}
}
TY  - JOUR
AU  - Jörg Brüdern
AU  - Trevor D. Wooley
TI  - The Hasse principle for pairs of diagonal cubic forms
JO  - Annals of mathematics
PY  - 2007
SP  - 865
EP  - 895
VL  - 166
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.865/
DO  - 10.4007/annals.2007.166.865
LA  - en
ID  - 10_4007_annals_2007_166_865
ER  - 
%0 Journal Article
%A Jörg Brüdern
%A Trevor D. Wooley
%T The Hasse principle for pairs of diagonal cubic forms
%J Annals of mathematics
%D 2007
%P 865-895
%V 166
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.166.865/
%R 10.4007/annals.2007.166.865
%G en
%F 10_4007_annals_2007_166_865
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

Cité par Sources :